{
 "cells": [
  {
   "cell_type": "code",
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "# 实时反应import的.py文件的代码变化"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.182078Z",
     "start_time": "2025-07-19T15:46:28.153586Z"
    }
   },
   "id": "8722546e0828661e",
   "outputs": [],
   "execution_count": 33
  },
  {
   "cell_type": "markdown",
   "source": [
    "阅读 vector_drawing.py 使用的yield关键字能返回一个可迭代的结果，详细说明：[如何理解Python中的yield用法?\n",
    "](https://zhuanlan.zhihu.com/p/268605982)\n",
    "\n",
    "zip函数的使用：[Python zip() 函数](https://www.runoob.com/python/python-func-zip.html)\n"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "68af25bf3e4d8af5"
  },
  {
   "cell_type": "code",
   "source": [
    "from vector_drawing import *"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.205269Z",
     "start_time": "2025-07-19T15:46:28.197654Z"
    }
   },
   "id": "6ece7541457b4084",
   "outputs": [],
   "execution_count": 34
  },
  {
   "cell_type": "code",
   "source": [
    "dino_vectors = [\n",
    "    (6, 4), (3, 1), (1, 2), (-1, 5), (-2, 5), (-3, 4), (-4, 4),\n",
    "    (-5, 3), (-5, 2), (-2, 2), (-5, 1), (-4, 0), (-2, 1), (-1, 0),\n",
    "    (0, -3), (-1, -4), (1, -4), (2, -3), (1, -2), (3, -1), (5, 1)\n",
    "]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.213356Z",
     "start_time": "2025-07-19T15:46:28.206411Z"
    }
   },
   "id": "7203ceaad968d99",
   "outputs": [],
   "execution_count": 35
  },
  {
   "cell_type": "markdown",
   "source": [
    "*号在Python中的使用 [Python中的*（星号）和**(双星号）完全详解](https://blog.csdn.net/zkk9527/article/details/88675129)"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "80158fdb975c340b"
  },
  {
   "cell_type": "code",
   "source": [
    "draw(Points(*dino_vectors))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.272604Z",
     "start_time": "2025-07-19T15:46:28.214293Z"
    }
   },
   "id": "46f9af9808e7ff22",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 36
  },
  {
   "cell_type": "code",
   "source": [
    "draw(Points(*dino_vectors), Segment((6, 4), (3, 1)))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.329452Z",
     "start_time": "2025-07-19T15:46:28.273360Z"
    }
   },
   "id": "7c89a65f2a816223",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ],
      "image/png": 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jhrnurt2QOnZAH7/11lty3XXXSbhIT083lzfi4+ObLNceAV2uzwMAgitvZZlMe2GNaCfttef0lXuvIggcTUG9TLBjxw654YYbzDX/bt26mS8geu2111p1Hd4mesLX70fQuwb0S5NSU1N9vzQAAK54YUWp3P7ihyYIXHduX/lV2hCCQDiFgfY0SllP/DpIUG+N1DlBAACC7/nlpXJHfkMQ+NF5DUGg+WVb/Pv4iiYAgJWeW761MQjcMLIfQSCI+NVCAIB1/vj+VpmRv9b8PXFUksy84lSCQBDRMwAAsMri9wgCoUbPAADAGs+895n8z5J15u8bz0+Su79HEAgFwgAAwAq/X/aZ3PVSQxCYdEF/ufPyUwgCIUIYAAD47nfvbpG7X274efvJ3+0vvxhHEAglwgAAwFeL3tkiM//UEAT+68IBMiN1MEEgxAgDAADfPP3XzZL9v38zf/8keYBMv4wg4AfCAADAF0+9vVl++UpDELh59EC5/dKTCQI+IQwAAELuyf/7u9zz5w3m7/8ePVB+ThDwFWEAAOBbELg15USZdskggoDPCAMAgJB5vORTuW/pRvP3Ty86UaaMJQjYgDAAAAiJ+cWfyuyCb4LAxSfJlDEnEQQsQRgAAATdvLc+lTmvNgSBrDEnSdaYQX6XhAMQBgAAQfVo0Sfym9c2mb+njBkkmWNO8rskNEMYAACEJAhMHTvIXB6AfQgDAICgeOSNj+XBwo/M3z+7ZJDcehFBwFaEAQDAUZf7l4/lob80BAH9DoFbUk70uyQcBmEAAHBU5fzlI8n5y8fm79svO1n+ezRBwHaEAQDAUeF5njz0l4/l4TcagsD01MFyU/JAv8tCKxAGAABHJwgUfiQPv/mJefyLcYPlvy4kCIQLwgAA4N8OAnMLP5JHvgkC/zPuFJl84QC/y0IbEAYAAP9WEHjg9U3yaNGn5vGdl58i//ldgkC4IQwAAL51EPj1a5vMtwuqu753qky6oL/fZeFb6PBt/pGL6urqpLi4WEpKSsxcH8NObKvwwvYK3yAw59V/BYGZVxAEwllQw8Ds2bNlxIgR0qVLF+nZs6dcddVVsmlTwzdRhZP8/HxJSkqSsWPHyty5c81cH+ty2IVtFV7YXuHJ80R+/frH8lhxQxDIvvI0ufF8gkA4C2oY0JR/yy23yLJly6SwsFBqa2vlkksukaqqKgkXelDKyMiQsrKyJsvLy8vNcg5a9mBbhRe2V/j2CPzpsw7y5NtbzONfpp0mE0Yl+V0WbA4Dr776qkycOFFOO+00GTp0qCxcuFC2bt0qK1eulHCg3ZWZmZlm528usCwrK4tuTQuwrcIL2ys86ba5/9WP5M2KhlPHr9JOkxtGEgTag5AOINy9e7eZd+/evcXna2pqzBRQWVlp5tqjoFOoac9G808tzd8YpaWlUlRUJMnJyRJqgTbxo21sq4dt1TaBE67O2V52bytb6tFtcl/BJln47lbz+O5xg+SHZ8f7Xpct7WNbLW2tI2RhoL6+3iT9888/X4YMGXLIMQbZ2dkHLdcDQkxMjISaDmhqjYKCAl8vfeglGJv4UQ/bqm0CoVvnS5cuDfn6w2F72bKtbKhHs+OSLR2keHtDj8A1A+ok9qu/ydKlfxNb2LS9Ci2ppbq6utWvjfBa6qcLgptvvtm8sd9++21JSEhodc9AYmKiVFRUSGxsrPjx6UUHNLVmw/v1aVPXrTVGRUWFfP021cO2ahsdpLdt2zbp06ePbNnScO03lGzeXrZtK7/r0VPEr5Zukt8va+gRyP7eyXLcF+tpH8trCZxDe/ToYXrlu3bt6n/PwK233iqvvPKK+TRwqCCgoqOjzdScNqofDZuSkmLq1QFNLWWmiIgI87y+LjIyUvziV/vYVA/bqm20PQJz3lt2bys/69FtM+tP600Q0F3m/vTTJX1Yb1m6dD3tEwa1tKWGDsHekTQILFmyRN58803p3z+8bj3Rg1Bubm6Tg2dA4HFOTo6vJxc0YFuFF7aX/fT4fffL62XRu5+ZIDAn/Qy5ZkRfv8tCkAQ1DOhthX/4wx9k8eLF5rsGtm/fbqZ//vOfEi7S09MlLy9P4uPjmyzXTy26XJ+HHdhW4YXtZa/6ek/uenmd/H7ZN0HgP86QH4xI9LssBFFQLxPMmzfPzEePHt1k+dNPP21uOQwXelBKS0szAxl13ENqaqrv3c1oGdsqvLC97AwCd768Tha/13Bp4DcZQyVj+KEv76J9CGoYCNHYxJDQg5MOZNKRzTrnYGUvtlV4YXvZFQT+56V18sf3G4LAAxlD5T8IAk7gh4oAACYI/GLJWnl2eal0iBB58AdD5eozCQKuIAwAgOM0CMzIXyvPrWgIAnN/MEyuOrPpWA60b4QBAHA8CNzx4ofywsoyEwQeumaYpA0jCLiGMAAAjqr7JgjkfRMEcn54plw5tI/fZcEHhAEAcDQI/DxvjeSvKpfIDhGSc80wuYIg4CzCAAC4GAReWCP5HzQEgYd/eKZcfkZvv8uCjwgDAOBYEJj2/Gp5afU2EwQeufZMGXc6QcB1hAEAcMT+unqZ9sIaeXn1Nun4TRBIJQiAMAAA7gSBqc+vkT+taQgCvx1/llw2pJffZcEShAEAcCAIZD23Wl75sMIEgUevO0suPY0ggH8hDABAOw8Cmc+tlj9/WCFRkRHy6Piz5BKCAJohDABAO1WrPQLPrpY/r20IAvOuGy5jTj3B77JgIcIAALTTIPDTP34gBeu2S6fIDjLvR2fJxacQBNAywgAAtMMgcNviD+TV9Q1B4LHrz5KLBhMEcGiEAQBoR/btr5fb/rhKXlv/uQkC868fLimDe/pdFixHGACAdhQEblm8Sgr/9rl06thBHr9+uIw+mSCAIyMMAEA7CQL//cwq+cuGhiDwxA1nS/KgOL/LQpggDABAmKvZXye3mCCwQ6K/CQIXEgTQBoQBAAjzIHDzH1bJmxsbgsCTE86W755EEEDbEAYAIEx9XatBYKUUbdopnaM6yIIJI+T8E3v4XRbCEGEAAMI0CNz0h5Xy1jdB4KkJI2QUQQDfEmEAAMIwCPzk9yul+KNvgsDEETJqIEEA3x5hAADCLAhM/t0K+b+Pd8kxUZEmCIwcGOt3WQhzHfwuIFzU1dVJcXGxlJSUmLk+hp3YVmiv+3LV1/uaBIGnb3Q7CPBeD5MwoBvoiiuukD59+khERIS89NJLEo7y8/MlKSlJxo4dK3PnzjVzfazLYRe2FdrrvnxJ6vfk1J88bIJATKdIWXjjCDlvgLtBgPd6GIWBqqoqGTp0qDz66KMSrnTHysjIkLKysibLy8vLzXJ2PHuwrdBe9+WIjtES9x93SUTvU6R+X7X8eOA/5VzHgwDv9TAKA6mpqXLPPffI1VdfLeFIu5wyMzPF87yDngssy8rKomvKAmwrtNd9OSIqWnpm3C3HJA2T+ppq2fHCLHn4rkxn92Xe6w4MIKypqTFTQGVlpZnX1taaKdT0GlTz5Nl8xystLZWioiJJTk6WUAu0iR9tY1s9bKu2CRw0dW5DTTa1j9+1HLgvmyDwHzOlc78zvgkCd0tN+UYpFXF2X7b5vV5r0X7c1jqsCgOzZ8+W7Ozsg5brRo2JiQl5PTrmoTUKCgrMJRG/FBYWik38qIdt1TaB0K3zpUuXii1saR8/azlwX46IjJIOnY81QeDz5++Wfds2iuv7cji81wst2Y+rq6tb/doIr6W+liDQAYRLliyRq666qk09A4mJiVJRUSGxsbG+JFAdlNKaDe9XQtd1a41RUVEhX79N9bCt2kYHWm3bts0M7t2yZYvf5VjVPn7X0nxf7tC5i3Ts1lP2ff5pk9e5ui/b/F6vtWg/DpxDe/ToIbt375auXbuGT89AdHS0mZrTRvWjYVNSUiQhIcEMSmkpM2nA0ef1dZGRkeIXv9rHpnrYVm2j7RGY21CPbe1j03Gn/us9su/rPY3Pu74vh8N7PcqS/bgtNfA9A4ehO1Jubm6Tg2dA4HFOTo6vb0g0YFuhvWBfPjzaJziCGgb27t0rq1evNpPavHmz+Xvr1q0SLtLT0yUvL0/i4+ObLNfkqcv1ediBbYX2gn358Gifoy+olwlWrFhhumoCpk6dauYTJkyQhQsXSrjQHSstLc0MZNRBKXrLpN9ddGgZ2wrtBfvy4dE+YRQGRo8e3eI1nXCkO5gORtHRqTpnh7MX2wrtBfvy4dE+Rw9jBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBsJUXV2dFBcXS0lJiZnrY9jJlm21e/duKSsra/E5Xa7PA3BTSMLAo48+KklJSdK5c2c599xz5f333w/Fatut/Px8055jx46VuXPnmrk+1uWwiy3bSk/0l112mSQnJ0tpaWmT5/SxLtfnCQSAm4IeBp577jmZOnWqzJw5U1atWiVDhw6VSy+9VHbs2BHsVbdLehLJyMg46BNeeXm5WU4gsIdN22rPnj3mPff3v/9dRo8e3dg7oXN9rMv1eX0dAPcEPQzop6HJkyfLjTfeKKeeeqo89thjEhMTI0899VSwV93u6IE7MzNTPM876LnAsqysLC4ZWMC2bZWQkCBvvfWWDBgwwJz4d+7caZbrXB/rcn1eXwfAPR2D+X++b98+WblypcyYMaNxWYcOHWTMmDHy7rvvHvT6mpoaMwVUVlaa+ZAhQyQyMlL8pgdxrS86OloiIiJCvn5d965duw5bn3b59urVy9ToWvvYVIut20rDh76XDuwZ0MfV1dUycuRIcXV72VoL9YRXPZ5Ftaj6+no7woAeDPVgc8IJJzRZro83btx40Otnz54t2dnZBy3fvn17MMtsdw53EoJdbNhW+h7lPQa4LahhoK20B0HHFxzYM5CYmGg+PdEzcORPmwE9evSgZ4BtdcgTv14aOPDyhL634uLifH2P+b29bK2FesKrHs+iWgI9AxUVFa17sRdENTU1XmRkpLdkyZImy2+44QbvyiuvPOK/3717t15c9Xbt2uXZYN++fd5LL71k5n7Yv3+/l5CQ4EVERJh2aT7p8sTERPM6F9vHplps3FZbt271BgwYYNav78sD57pcn3d1e9lai6Ke8Klnn0W1HHgO1fmRBHUAYadOnWT48OHyxhtvNEkq+tjP65PhSj+55ebmmr+bp87A45ycHCt6UVxn27bSOxoCdw3oYEHtCVA6Dwwq1OcP9T0EANq3oN9NoN3+TzzxhCxatEg2bNggN998s1RVVZm7C9B26enpkpeXJ/Hx8U2W6yhwXa7Pww42basuXbpIz549G+8aCIQQnQfuMtDn9XUA3BP0MQPXXHONuUZ59913m0FKw4YNk1dfffWgQYVoPT2JpKWlSVFRkRQUFEhqaqqkpKTQI2AhW7ZVt27dzPtOv0eg+e2DOi5HvxlRg4C+DoB7QjKA8NZbbzUTjh49mei3xmkvi84JAvayZVvpif5QJ3u+XwBwG79NAACA4wgDAAA4jjAAAIDjCAMAADiOMAAAgOMIAwAAOI4wAACA4wgDAAA4jjAAAIDjCAMAADiOMAAAgOMIAwAAOI4wAACA4wgDAAA4jjAAAIDjCAMAADiOMAAAgOMIAwAAOI4wAACA4wgDAAA4jjAAAIDjCAMAADiOMAAAgOMIAwBgqbq6OikuLpaSkhIz18dAWIWBe++9V0aNGiUxMTFy3HHHBWs1ANAu5efnS1JSkowdO1bmzp1r5vpYlwNhEwb27dsn3//+9+Xmm28O1ioAoF3SE35GRoaUlZU1WV5eXm6WEwgQNmEgOztbpkyZIqeffnqwVgEA7Y5eCsjMzBTP8w56LrAsKyuLSwY4qjqKRWpqaswUUFlZaea1tbVm8lugBhtqUdQTHrXYWE/gpKJzG2qyqX38rkXHBjTvETiQbrPS0lIpKiqS5ORkca19bK6n1qJa2lqHVWFg9uzZpkehOd3pdeyBLQoLC8Um1BMetdhUTyB063zp0qViC1vax89adLBgaxQUFEhVVZX4xaZtZVs9hZbUUl1dHZwwMH36dJkzZ85hX7NhwwYZPHiwfBszZsyQqVOnNukZSExMlJSUFImNjRUbUpZuZB3IExUV5Xc51BMmtdhYT3R0dON83LhxfpdjVfv4Xcuxxx5rBgweSWpqqm89A7ZsK9vqqbWolgN71496GJg2bZpMnDjxsK8ZMGCAfFt6YAocpA6kjWpDwwZQT/jUY1MtNtUTERHROLehHtvax89a9MNPQkKCGSzY0rgB3Wb6vL4uMjJS/GLTtrKtnihLamlLDW0KA3FxcWYCAASHnuBzc3PNXQN64j8wEARCXE5Ojq9BAO1P0O4m2Lp1q6xevdrMddSr/q3T3r17g7VKAGgX0tPTJS8vT+Lj45ss1x4BXa7PA0dT0AYQ3n333bJo0aLGx2eeeWbjYMDRo0cHa7UA0C7oCT8tLc0cM3WwoI4R8PvSANqvoIWBhQsXmgkA8O3oiV8HCepdAzonCCBY+G0CAAAcRxgAAMBxhAEAABxHGAAAwHGEAQAAHEcYAADAcYQBAAAcRxgAAMBxhAEAABxHGAAAwHGEAQAAHEcYAADAcYQBAAAcRxgAAMBxhAEAABxHGAAAwHGEAQAAHEcYAADAcYQBAAAcRxgAAMBxhAEAABxHGAAAwHGEAQAAHEcYAADAcYQBAL6qq6uT4uJiKSkpMXN9DKCdhIEtW7bIpEmTpH///nLMMcfIwIEDZebMmbJv375grRJAmMnPz5ekpCQZO3aszJ0718z1sS4HEDodg/V/vHHjRqmvr5f58+fLiSeeKOvWrZPJkydLVVWVPPDAA8FaLYAwoSf8jIwM8TyvyfLy8nKzPC8vT9LT032rD3BJ0MLAZZddZqaAAQMGyKZNm2TevHmEAcBxeikgMzPzoCCgdFlERIRkZWVJWlqaREZG+lIj4JKghYGW7N69W7p3737I52tqaswUUFlZaea1tbVm8lugBhtqUdQTHrXYWE/gJKxzP2rSsQFlZWWHfF7rKi0tlaKiIklOTnZ6W1FP+NRTa1Etba0jwmspmgfBJ598IsOHDze9Anq5oCWzZs2S7Ozsg5YvXrxYYmJiQlAl4AYdz/PFF19IbGysLFiwIOTr18GCOkbgSKZOnSoXXnhhSGoC2pvq6moZP368+SDetWvXoxsGpk+fLnPmzDnsazZs2CCDBw9ucg1Q0/3o0aPlySefbFPPQGJiolRUVJiDlg0pq7Cw0AxyioqK8rsc6gmTWmysRwfpbdu2Tfr06WMG+/rRM6BtcSTaZn70DNi0ragnfOqptaiWwDm0R48erQoDbb5MMG3aNJk4ceJhX6PjAwL0gJOSkiKjRo2Sxx9//LD/Ljo62kzNaaPa0LAB1BM+9dhUi0316DX5wNyPevSYkJCQYD4otPR5ROvS5/V1fo0ZsGVbBVBP+NQTZUktbamhzWEgLi7OTK2hb3R9M+vlgaefflo6dOBrDQCIOcHn5uaauwb0xH9gIAgElZycHAYPAiEStLOzBgG9LNC3b18zTmDnzp2yfft2MwGA3jaotw/Gx8c3Wa49AtxWCLSTuwn0uokOGtRJ39wHCtGYRQCW0xO+3j6odw0UFBRIamqqr5cGAFcFrWdAxxXoSb+lCQAC9MSvgwT1rgGdEwSA0OMiPgAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDACOqaurk5qaGvO3zvUxGmhbFBcXS0lJiZnTNnBFUMPAlVdeKX379pXOnTtL79695frrr5dt27YFc5UADiM/P1+SkpJk165d5rHO9bEud12gbcaOHStz5841c9oGrghqGEhJSZHnn39eNm3aJC+++KJ8+umnkpGREcxVAjgEPanp+6+srKzJ8vLycrPc5ZMebQPXBTUMTJkyRc477zzp16+fjBo1SqZPny7Lli2T2traYK4WQDPa3Z2ZmSme5x30XGBZVlaWk93itA0g0jFUK/ryyy/lmWeeMaEgKiqqxdfo9cvAtUxVWVlp5hoebAgQgRpsqEVRT3jUYkM9ev27+afe5ie90tJSKSoqkuTkZHGpfWibtqGe8KilrXVEeC3F4aPojjvukN/+9rdSXV1tegleeeUViY2NbfG1s2bNkuzs7IOWL168WGJiYoJZJtCu6YA4vQ5+JFOnTpULL7xQXELboL3S8+748eNl9+7d0rVr16MbBrSrf86cOYd9zYYNG2Tw4MGNA5S0V+Czzz4zJ/pu3bqZQBAREdGqnoHExESpqKg4ZIAIdcoqLCw0A4sO1btBPXbUY1MtNtSjn3513UeiNfr16dev9qFtqKc91hI4h/bo0aNVYaDNlwmmTZsmEydOPOxrBgwY0Pi3FqLToEGD5JRTTjEndx03MHLkyIP+XXR0tJma00a1oWEDqCd86rGpFj/r0cG8CQkJZkBcS/lfw7k+r6+LjIwUl9qHtvl2qMf+WtpSQ5vDQFxcnJm+jfr6ejM/8NM/gODTk1hubq4ZGa8ntwNPeoFeupycHF9Pdn6hbYAg3k3w3nvvmbECq1evNpcI3nzzTbn22mtl4MCBLfYKAAiu9PR0ycvLk/j4+CbL9VOvLtfnXUXbwHVBu5tAB/zpvbkzZ86Uqqoq86VDl112mdx5550tXgoAEHx6UktLS5NevXqZ8Tx6CW/z5s186j2gbfSugYKCAklNTfX90gAQ9mHg9NNPN70BAOyiJ7dAINc5J7t/0bbQQYL6AUbntA1cwW8TAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAADgOMIAAACOIwwAAOA4wgAAAI4jDAAA4DjCAAAAjiMMAEFWV1cnxcXFUlJSYub6GP9C+wCOhIGamhoZNmyYREREyOrVq0OxSsAK+fn5kpSUJGPHjpW5c+eauT7W5aB9AKfCwO233y59+vQJxaoAa+gJLSMjQ8rKyposLy8vN8tdP+HRPoBDYaCgoEBef/11eeCBB4K9KsAa2tWdmZkpnucd9FxgWVZWlrNd4rQPYJeOwfw///zzz2Xy5Mny0ksvSUxMTKsuJ+gUUFlZaea1tbVm8lugBhtqUdRjby167bv5J97mJ7zS0lIpKiqS5OTkkNYWWH9g7kcb2dw+fu87zVFP+NRTa1Etba0jaGFA38wTJ06Um266Sc4++2zZsmXLEf/N7NmzJTs7+6DlekBoTZgIlcLCQrEJ9dhXiw6Ga23PWVVVlYRaIHTrfOnSpSFfv+3tY9t+rKgnfOoptKSW6urq4IWB6dOny5w5cw77mg0bNphLA3v27JEZM2a0+v9bXzt16tQmPQOJiYmSkpIisbGxYkPK0o2sg5yioqL8Lod6LK7l2GOPNQPijiQ1NdWXnoHo6OjG+bhx40K+fpvbx+99h3rCt55ai2o5sHc9KGFg2rRp5hP/4QwYMEDefPNNeffddxsPOgHaS3DdddfJokWLDvp3+trmr1faqDY0bAD1hE89ftWiATYhIcEMhmvpurjeWaPP6+siIyNDXp+uPzCnfezfjxX1hE89UZbU0pYa2hwG4uLizHQkDz/8sNxzzz2Nj7dt2yaXXnqpPPfcc3Luuee2dbVAWNETWG5urhkVrye2A094gRNxTk6Obyc6v9E+gCN3E/Tt21eGDBnSOA0aNMgsHzhwoEn8QHuXnp4ueXl5Eh8f32S57v+6XJ93Ge0DOHI3AeA6PaGlpaWZQbA6GE6vgfvZ9W0b2gdwLAzot4q1dG0QaO/0xKaD4HRUvM450TVF+wD+47cJAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAxwU1DCQlJUlEREST6f777w/mKgEAQBt1lCD75S9/KZMnT2583KVLl2CvEgAA2BQG9OTfq1evYK8GAADYGgb0ssCvfvUr6du3r4wfP16mTJkiHTu2vNqamhozBezevdvMv/zyS7FBbW2tVFdXyxdffCFRUVF+l0M9YVKLjfXU1dU1zrUmv9nUPjbVQj3hVU+tRbWoPXv2mLnneUd+sRdEDz74oFdUVOStWbPGmzdvnnfcccd5U6ZMOeTrZ86cqRUzMTExMTExydGZSktLj3i+jtD/aUvSmD59usyZM+ewr9mwYYMMHjz4oOVPPfWU/OQnP5G9e/dKdHT0EXsG/vGPf0i/fv1k69at0q1bN/FbZWWlJCYmSmlpqXTt2tXvcqgnTGqhnvCqx6ZaqCe86qm0qBalp3ftHejTp4906NDh6F4mmDZtmkycOPGwrxkwYECLy88991zZv3+/bNmyRU4++eSDnteA0FJI0CBgQ8MGaC3UEx712FSLop7wqcemWhT1hE89XS2qpbUfpNscBuLi4sz0baxevdqkk549e36rfw8AAMJoAOG7774r7733nqSkpJg7CvSxDh780Y9+JMcff3ywVgsAAGwJA9rd/+yzz8qsWbPMOID+/fubMDB16tQ2/X/MnDmzxUsHfqCe8KnHploU9YRPPTbVoqgnfOqJtqiWtmrzAEIAANC+8NsEAAA4jjAAAIDjCAMAADiOMAAAgOMIAwAAOC6swsCf//xn8y2GxxxzjPmugquuusq3WpKSkiQiIqLJpD/K5De9jXPYsGGmHv2SJ79ceeWV5sepOnfuLL1795brr79etm3b5kst+o2XkyZNMre36r4zcOBAc/vPvn37fKnn3nvvlVGjRklMTIwcd9xxIV//o48+avZf3Tb6fnr//ffFLyUlJXLFFVeYr0vVffall17yrZbZs2fLiBEjzPei6Bej6fFl06ZNvtUzb948OeOMMxq/zW7kyJFSUFAgNtBjnW6vrKwsX9avt6w3P/629BX4oVReXm6+Ryc2NtYcZ04//XRZsWKFhIuwCQMvvviiOaHceOONsmbNGvnrX/9qfgXRT7/85S+loqKicbrtttvEb7fffrs5sPpNv2zq+eefNwdT3XaffvqpZGRk+FLLxo0bpb6+XubPny/r16+Xhx56SB577DH5xS9+4Us9GkK+//3vy8033xzydT/33HPmuz40DK1atUqGDh0ql156qezYsUP8UFVVZWrQgOK34uJiueWWW2TZsmVSWFhofoHukksuMTX6ISEhwZx0V65caU4qF110kaSlpZl92E/Lly837yUNKn467bTTmhx/3377bd9q+eqrr+T88883v1Soge1vf/ubPPjgg+H1BXteGKitrfXi4+O9J5980rNFv379vIceesizydKlS73Bgwd769evN79U9cEHH3i2ePnll72IiAhv3759ng1+/etfe/379/e1hqefftrr1q1bSNd5zjnneLfcckvj47q6Oq9Pnz7e7NmzPb/pPrtkyRLPFjt27DA1FRcXe7Y4/vjjfT0O7tmzxzvppJO8wsJCLzk52cvMzPSlDv2F26FDh3q2uOOOO7wLLrjAC2dh0TOgn2C0C0Z/1+DMM8803c6pqamybt06X+vS1K5dQlrTb37zG/MjTH75/PPPZfLkyfL73//edD/b5Msvv5RnnnnGdI3b8Bvfavfu3dK9e3dxifZI6KfMMWPGNC7T95Q+1q8Lx8H7iLJhP6mrqzPf6Kq9FHq5wC/ac3L55Zc32Yf88vHHH5teUP1hvOuuu878uq1f/vSnP8nZZ59tevz0EpOeE5544gkJJ2ERBv7+9783Xie688475ZVXXjHdL6NHjzYnGj/89Kc/NW/OoqIi87PM9913n+mi94N+qNJfkrzpppvMDmmLO+64Q4499lgTmPSN+vLLL4sNPvnkE3nkkUfMdnPJrl27zEnlhBNOaLJcH2/fvt23umykl5X0erh2/Q4ZMsS3OtauXSvf+c53zNfb6vt7yZIlcuqpp/pSix7v9IOZjq3wm451Wbhwobz66qtmbMXmzZvlu9/9rvm5Xr/OUfPmzZOTTjpJXnvtNXMJUM8RixYtkrDhd9eKlnC4acOGDd4zzzxj/p4/f37jv/3666+9Hj16eI899ljI62nJggULvI4dO5q6Ql1Pbm6ud/7553v79+83/27z5s1BuUzQ1vbZuXOnt2nTJu/111839Y0bN86rr6/3rR5VVlbmDRw40Js0adJRq+Pb1hLqywTl5eWmjnfeeafJ8p///Ofm8oHfbLpMcNNNN5lLgaWlpb7WUVNT43388cfeihUrvOnTp5tjnl4GDLWtW7d6PXv29NasWdO4zM/LBM199dVXXteuXX27hBIVFeWNHDmyybLbbrvNO++887xwEbQfKmqNadOmmU+0h6NdQDo4RB2YiDUp63NHs2uotfUcKqnqZQIduX7yySeHtJ4333zTdPM2/3EM7SXQ7rOjlU7b2j49evQw06BBg+SUU06RxMREMzjraHVztrUevZtBBzbq5YrHH3/8qNTwbWvxg26LyMhIc0npQPq4V69evtVlm1tvvdX0PuqdDjqIz0+dOnWSE0880fw9fPhwM3gvNzfXDOALJb28pINMzzrrrMZl2sukbfTb3/7W3MWk+5Zf9K4cPc5or58fevfufVCPjR7zdPB0uPA1DMTFxZnpSPRNoCc6HZl+wQUXmGU60ldPvP369Qt5PS3R2/j0+qteLwp1PQ8//LDcc889TU56OkJcR45rSAl1PYfqdlV60PCjHh1zokFA96Wnn37abKuj6d9pm1CeWPS//4033mi8LVe3iz7WE6DrtHNC7wjSrvi33nrL3IpqG91eR/M91FoXX3yxuWRxIL2zS2/n08uBfgYBtXfvXnPHkt5x5ofzzz//oNtQP/roo6N6fmrXYaC19B5bvV6mt0Ppp0ttYB2wp3TARqjpp/D33nvPnFz0nmR9rD/PrPeY+nErid7PfyC9xqj0fno/Ptlo2+gnGA1u2h76Jr3rrrtMPX4MftIgoONLdL954IEHZOfOnY3P+fGJWHuzdKyLzvXTVeD7IPQTYGDbBYveVjhhwgTTa3TOOedITk6OGZSmB3a/DuIHfprTa7/aHjpor/l+HYrBcYsXLzZjW/R9HRhH0a1bN3PfeKjNmDHDDJTWdtBr4VqbhhS9Jh1q2h7Nx04ExgP5MabiZz/7mfl+Cn1P64cfPTdoILn22mvFD1OmTDE9jjp27Ac/+IH57g7tfTzaPZBB5YUJvSVt2rRp5rpVly5dvDFjxnjr1q3zpZaVK1d65557rrne27lzZ++UU07x7rvvvqM6XuDfEawxA6314YcfeikpKV737t296OhoLykpyVyD1ev1ftBr84e6ju+HCRMmtFhLUVFRSNb/yCOPeH379vU6depkxgosW7bM84v+N7fUFtpGoXaofUT3Hz/8+Mc/NuMWdDvFxcV5F198sRl/Yws/xwxcc801Xu/evU3b6G3n+viTTz7x/PS///u/3pAhQ8wxT2/xfvzxx71wEqH/43cgAQAA/gmLWwsBAEDwEAYAAHAcYQAAAMcRBgAAcBxhAAAAxxEGAABwHGEAAADHEQYAAHAcYQAAAMcRBgAAcBxhAAAAcdv/B/VHzvGUUeolAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 37
  },
  {
   "cell_type": "code",
   "source": [
    "dino_vectors = [(6, 4), (3, 1), (1, 2), (-1, 5), (-2, 5), (-3, 4), (-4, 4),\n",
    "                (-5, 3), (-5, 2), (-2, 2), (-5, 1), (-4, 0), (-2, 1), (-1, 0), (0, -3),\n",
    "                (-1, -4), (1, -4), (2, -3), (1, -2), (3, -1), (5, 1)\n",
    "                ]\n",
    "draw(Points(*dino_vectors), Polygon(*dino_vectors))"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.391932Z",
     "start_time": "2025-07-19T15:46:28.330878Z"
    }
   },
   "id": "7c34006255074555",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x507.692 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 38
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.401531Z",
     "start_time": "2025-07-19T15:46:28.392660Z"
    }
   },
   "cell_type": "code",
   "source": [
    "[(x, x ** 2) for x in range(-10, 11)]"
   ],
   "id": "284d23206d52eb9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(-10, 100),\n",
       " (-9, 81),\n",
       " (-8, 64),\n",
       " (-7, 49),\n",
       " (-6, 36),\n",
       " (-5, 25),\n",
       " (-4, 16),\n",
       " (-3, 9),\n",
       " (-2, 4),\n",
       " (-1, 1),\n",
       " (0, 0),\n",
       " (1, 1),\n",
       " (2, 4),\n",
       " (3, 9),\n",
       " (4, 16),\n",
       " (5, 25),\n",
       " (6, 36),\n",
       " (7, 49),\n",
       " (8, 64),\n",
       " (9, 81),\n",
       " (10, 100)]"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 39
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.467929Z",
     "start_time": "2025-07-19T15:46:28.402264Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 绘制x=y^2\n",
    "draw(Points(*[(x, x ** 2) for x in range(-10, 11)]), grid=(1, 10), nice_aspect_ratio=False)"
   ],
   "id": "e65811b7310ffa12",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 40
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 2.2 平面向量运算"
   ],
   "id": "7943ac822fec83b3"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "**对dinosaur的向量进行位移**"
   ],
   "id": "ae3151435afe57d3"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.545391Z",
     "start_time": "2025-07-19T15:46:28.469010Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def add(v1, v2):\n",
    "    return (v1[0] + v2[0], v1[1] + v2[1])\n",
    "\n",
    "\n",
    "dino_vectors2 = [add((-1.5, -2.5), v) for v in dino_vectors]\n",
    "draw(\n",
    "    Points(*dino_vectors, color=blue),\n",
    "    Polygon(*dino_vectors, color=blue),\n",
    "    Points(*dino_vectors2, color=red),\n",
    "    Polygon(*dino_vectors2, color=red),\n",
    ")"
   ],
   "id": "53dbac00b9c98e99",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x560 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 41
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "**通过x分量和y分量计算向量的长度**"
   ],
   "id": "c138c8a9a0e95a1e"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.554236Z",
     "start_time": "2025-07-19T15:46:28.546146Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from math import sqrt\n",
    "\n",
    "\n",
    "def length(v):\n",
    "    return sqrt(v[0] ** 2 + v[1] ** 2)"
   ],
   "id": "9bec561ac2341879",
   "outputs": [],
   "execution_count": 42
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.590435Z",
     "start_time": "2025-07-19T15:46:28.554844Z"
    }
   },
   "cell_type": "code",
   "source": [
    "draw(\n",
    "    Points((2, 2), (-1, 3)),\n",
    "    Segment((2, 2), (-1, 3), color=red)\n",
    ")\n"
   ],
   "id": "9be81e3e07152e72",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 43
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.600586Z",
     "start_time": "2025-07-19T15:46:28.592451Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 实现新的add函数，对任意多的向量进行加法运算\n",
    "def add(*vectors):\n",
    "    return (sum(v[0] for v in vectors), sum(v[1] for v in vectors))\n",
    "\n",
    "\n",
    "# 测试循环\n",
    "print(sum(item[0] for item in dino_vectors))\n",
    "print(sum(item[1] for item in dino_vectors))\n",
    "\n",
    "# 测试add计算dino_vectors的结果\n",
    "\n",
    "print(add(*dino_vectors))"
   ],
   "id": "c0cf747311001479",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-13\n",
      "18\n",
      "(-13, 18)\n"
     ]
    }
   ],
   "execution_count": 44
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:28.609002Z",
     "start_time": "2025-07-19T15:46:28.601277Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 实现函数translate\n",
    "def translate(translation, vectors):\n",
    "    return [add(translation, v) for v in vectors]\n",
    "\n",
    "\n",
    "# 测试translate函数\n",
    "translate((1, 1), [(0, 0), (0, 1), (-3, -3)])"
   ],
   "id": "206351dcccbfd9b9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 1), (1, 2), (-2, -2)]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 45
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.159609Z",
     "start_time": "2025-07-19T15:46:28.609828Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 绘制100个恐龙图像\n",
    "\n",
    "def hundred_dinos():\n",
    "    translations = [(12 * x, 10 * y) for x in range(-5, 5) for y in range(-5, 5)]\n",
    "    dinos = [Polygon(*translate(t, dino_vectors)) for t in translations]\n",
    "    draw(*dinos, grid=False, axes=None, origin=None)\n",
    "\n",
    "\n",
    "hundred_dinos()"
   ],
   "id": "ecba67d48d0ef224",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x499.16 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 46
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.169396Z",
     "start_time": "2025-07-19T15:46:29.161230Z"
    }
   },
   "cell_type": "code",
   "source": [
    "max(dino_vectors, key=length)"
   ],
   "id": "f99e50ecd52bc612",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 4)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 47
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.177272Z",
     "start_time": "2025-07-19T15:46:29.169999Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def scale(scalar, v):\n",
    "    return (scalar * v[0], scalar * v[1])"
   ],
   "id": "c01f8a5b6a97922d",
   "outputs": [],
   "execution_count": 48
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.227682Z",
     "start_time": "2025-07-19T15:46:29.177919Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from random import uniform\n",
    "\n",
    "u = (-1, 1)\n",
    "v = (1, 1)\n",
    "\n",
    "\n",
    "def random_r():\n",
    "    return uniform(-3, 3)\n",
    "\n",
    "\n",
    "def random_s():\n",
    "    return uniform(-1, 1)\n",
    "\n",
    "\n",
    "possibilities = [add(scale(random_r(), u), scale(random_s(), v)) for i in range(0, 500)]\n",
    "\n",
    "draw(Points(*possibilities))"
   ],
   "id": "4d9ac343e3809095",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 49
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [],
   "id": "10e2c13acd8e22f9"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.236067Z",
     "start_time": "2025-07-19T15:46:29.228538Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def subtract(v1, v2):\n",
    "    return v1[0] - v2[0], v1[1] - v2[1]"
   ],
   "id": "a19d729baae58fe2",
   "outputs": [],
   "execution_count": 50
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.243396Z",
     "start_time": "2025-07-19T15:46:29.236669Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 计算两个向量的距离\n",
    "def distance(v1, v2):\n",
    "    return length(subtract(v1, v2))"
   ],
   "id": "8c8dda2f205d9c88",
   "outputs": [],
   "execution_count": 51
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "**计算恐龙的周长**，需要将列表中每一对相邻向量的距离以及首末位向量之间的距离相加"
   ],
   "id": "95e9b3ef346ba530"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.251720Z",
     "start_time": "2025-07-19T15:46:29.243916Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 计算恐龙的周长:(i + 1) % len(vectors)回归到0\n",
    "\n",
    "def perimeter(vectors):\n",
    "    distances = [distance(vectors[i], vectors[(i + 1) % len(vectors)]) for i in range(0, len(vectors))]\n",
    "    return sum(distances)\n",
    "\n",
    "\n",
    "# 正方形测试\n",
    "perimeter([(1, 0), (1, 1), (0, 1), (0, 0)])\n",
    "\n",
    "#恐龙周长\n",
    "perimeter(dino_vectors)"
   ],
   "id": "ac8c4d319f86764a",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44.77115093694563"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 52
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.259486Z",
     "start_time": "2025-07-19T15:46:29.252421Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 令u为向量(1,-1)。假定有另一个向量v坐标位(n,m)（n>m），向量v与u的距离为13，那么从u到v的位移是多少\n",
    "\n",
    "for n in range(-12, 15):\n",
    "    for m in range(-14, 13):\n",
    "        if distance((n, m), (1, -1)) == 13 and n > m > 0:\n",
    "            print((n, m))"
   ],
   "id": "d9f1e4aa999e301",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(13, 4)\n"
     ]
    }
   ],
   "execution_count": 53
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 2.3 平面上的角度和三角学\n",
    "在三角中使用长度确定向量，使用角度确定方向。例如向量 (4,3) 的角度为37°，长度为5（l = sqrt(4^2+3^2)），使用(5,37°)表示称为极坐标。\n",
    "\n",
    "**正切** tan，是指给定一个角度，该角度上向量的坐标将有一个固定的比值。（可以理解为x每移动一个单位，y将移动比值个单位）。\n",
    "\n",
    "正切函数关注的问题，给定角度和距离的向量需找笛卡尔坐标，正切等于垂直距离除以水平距离。\n",
    "\n",
    "**正切**tan 角度 = 垂直距离/水平距离\n",
    "\n",
    "**正弦**sin 角度 = 垂直距离/距离（斜边）\n",
    "\n",
    "**余弦**cos 角度 = 水平距离/距离（斜边）\n",
    "正弦 sin(37°)=3/5，解释：沿着37°每移动5个单位，就会垂直移动3个单位。\n",
    "\n",
    "余弦 cos(37°)=4/5，解释：沿着37°每移动5个单位，就会水平移动4个单位。\n",
    "\n",
    "在坐标系中计算y，需要知道r斜边，角度θ，则公式为：y=r*sin(θ)\n",
    "\n",
    "在坐标系中计算x，需要知道r斜边，角度θ，则公式为：x=r*cos(θ)"
   ],
   "id": "ed42a783d0069c1c"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:46:29.265655Z",
     "start_time": "2025-07-19T15:46:29.259978Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 现在反向推导，已知r=5,角度t为37°，计算y的值，需要使用sin函数，cos函数同理\n",
    "\n",
    "sin37 = 3 / 5\n",
    "y = sin37 * 5\n",
    "print(y)"
   ],
   "id": "6b350d4b01ba4992",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.0\n"
     ]
    }
   ],
   "execution_count": 54
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 2.3.2 Python中的三角学和弧度\n",
    "\n",
    "1弧度≈ 57.296°\n",
    "\n",
    "π弧度=180°\n",
    "\n",
    "2π弧度=360°\n",
    "\n",
    "所以，1°=π/180，对于一个给定的角度，它的弧度值表明你已经绕过的半径数。"
   ],
   "id": "b5358fb3decde8c5"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T15:54:36.071703Z",
     "start_time": "2025-07-19T15:54:36.047697Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 将上面的推导，将37°转为弧度并计算y\n",
    "import math\n",
    "\n",
    "math.sin(37 * math.pi / 180) * 5"
   ],
   "id": "93fdb14a3bfe7ae5",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.0090751157602416"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 55
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T16:06:36.971816Z",
     "start_time": "2025-07-19T16:06:36.958954Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 接收一对极坐标并返回相应的笛卡尔坐标\n",
    "from math import cos, sin, pi\n",
    "\n",
    "\n",
    "def to_cartesian(polar_vector):\n",
    "    length, angle = polar_vector[0], polar_vector[1]\n",
    "    return (length * cos(angle), length * sin(angle))\n",
    "\n",
    "\n",
    "# 测试to_cartesian函数\n",
    "angle = 37 * pi / 180\n",
    "\n",
    "to_cartesian((5, angle))"
   ],
   "id": "18d091105670e17",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3.993177550236464, 3.0090751157602416)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 56
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-19T16:52:37.974162Z",
     "start_time": "2025-07-19T16:52:37.962812Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from math import asin\n",
    "\n",
    "sin(1)\n",
    "\n",
    "asin(0.8414709848078965)\n",
    "\n",
    "# 反正弦计算出向量(4,3)的角度✅\n",
    "asin(3 / 5) * 180 / pi\n",
    "\n",
    "# 验证课本,56.3°\n",
    "asin(3 / sqrt(13)) * 180 / pi\n"
   ],
   "id": "f60ccf49fe7031de",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "56.30993247402022"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 61
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T06:53:08.746557Z",
     "start_time": "2025-07-20T06:53:08.712600Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 跟随课本代码推导\n",
    "from math import sqrt\n",
    "\n",
    "asin(3 / sqrt(13)) * 180 / pi  # 算出弧度并换算成角度\n"
   ],
   "id": "855ffd686e98dc41",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-56.30993247402022"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 65
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "**反正弦、反余弦、反正切函数都不足以找到平面内某个点与X轴正半轴的夹角。** Python中使用`math.atan2`接收笛卡尔坐标，返回弧度，参数为 y,x。"
   ],
   "id": "b1776140ba30efb2"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T08:12:20.476519Z",
     "start_time": "2025-07-20T08:12:20.452380Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from math import atan2\n",
    "\n",
    "atan2(3, -2)"
   ],
   "id": "4b7e99f5aab902c9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.158798930342464"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 66
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T09:38:35.876192Z",
     "start_time": "2025-07-20T09:38:35.863801Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 笛卡尔坐标转极坐标\n",
    "def to_polar(vector):\n",
    "    x, y = vector[0], vector[1]\n",
    "    angle = atan2(y, x)\n",
    "    return (length(vector), angle)\n",
    "\n",
    "\n",
    "# 测试证明(1,0)弧度为0，长度为1\n",
    "\n",
    "print(to_polar((1, 0)))\n",
    "\n",
    "# 测试(4,3)的极坐标\n",
    "print(to_polar((4, 3)))"
   ],
   "id": "cf6fb485637018e4",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1.0, 0.0)\n",
      "(5.0, 0.6435011087932844)\n"
     ]
    }
   ],
   "execution_count": 68
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T09:45:25.765794Z",
     "start_time": "2025-07-20T09:45:25.742200Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 练习2.29：向量的长度为15，指向 37°角，x分量和y分量是多少？\n",
    "# 知道斜边和角度，求垂直距离和水平距离，x=r*cos(θ)，y=r*sin(θ)\n",
    "print(15 * cos(37 * pi / 180), 15 * sin(37 * pi / 180))\n"
   ],
   "id": "f2f37f7cd709e6c1",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11.979532650709393 9.027225347280725\n"
     ]
    }
   ],
   "execution_count": 69
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T10:42:53.682160Z",
     "start_time": "2025-07-20T10:42:53.402401Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 练习2.37推导\n",
    "\n",
    "polar_coords = [(cos(5 * x * pi / 500.0), 2 * pi * x / 1000.0) for x in range(0, 1000)]\n",
    "vectors = [to_cartesian(p) for p in polar_coords]\n",
    "draw(Polygon(*vectors, color=green))"
   ],
   "id": "29761fb0388d4cc",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ],
      "image/png": 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C9N+JWT79/VN9VH/XNYvVNK0ewAoIA/Aaz977rFFu93M7l7WjU8VOsq33NqkQUcF47YWVL8iDsx6UlJQU8XZbTm+xFWx5yLSlju17Sjhja2TA2xEG4DUeuecRyRdg2xDnaNxR+XZ7xgZGrnh0MbPdTL0Mr33BooOXDkrDHxvKrnO7xJvZ1xeoVMD26MYM/Rb1M3oF1C6TAHKHMACvsrBjRnf825vfltOxp13anl539pKVXVbqAW7K5eTL0mVuFxmxdoR4owMXDhjl56qbt+7DzvM79VGtK2DmowjAKggD8Cpqb4HhdTIGEN4/835xtdDgUFnTfY08X/1547WZ+2ZK5zmdve6xwbub3zXKd0beaUodiw7atipWhtQaYkodgNUQBuB1Ot/eWWoUqWEsG9xiWgtxB33v7itft/haAn0D9fnu87ul+uTqcjz2uHgL+yMQ+0JQZhi6eqg+qt6W9hXam1YPYCWEAXilCS0nSGiAbfe6E/En5NFFj4o7qFWslp6CWCSkiLFFcqsZreS/W71j291Av0BTxwtsP7NdL+6k1CzCDALAUQgD8FqruqwytiDecHKDjFjjHs/p1eDCpZ2XSqfynfR5mqTJp398Ks8uz5gN4alOxJ3Qxwr5M2ZSONIHWz4weh7ebZjxSAJA7hAG4LXUksGLOy42zmfunylf/PGFuIvX6r8mHzS23dyUpUeWSr0p9SQhxbbWvqfZf36/UW5YoqHDr38+4bxsPLlRl6NLRpu65wFgNYQBeLXCoYVlQosJxvm4rePku53fibtoVrqZrOy6UkqHldbnl5MuS93JdeXclXPiabac+Wd9ARFpUcbx4zSeXva0UX6xlrnbIgNWQxiA16tRrIZ8HJ2xf8Fbv70lU3dPFXeRPzi/zO0wV0rlK2UMeoz+MVqm78lY1tcTzNg7Qx+D/IIcfm0162LXedvgxOKhxSUqNMrhdQBWRhiAJUSXipa3GrxlnL++4XX535//E3cyr+M8ebHGi8YeCyPXjzRusJ7gwEXbGgP2pZgdaeDygZKUZlti+vNmnzv8+oDVEQZgGa3LtpaPG3+caTDa+5ucu8vhrfS+q7e8WvtV4/y1da9J97ndxZOUCrP1cJix34GarVA63PZIBYDjEAZgKdGlo+W9Ru8Z5xN2TJBRa0aJO+lSqYvM7zBf8vrn1efbz22XjrM7irtLTLVtW9ylQheHXvfz3z/XMy6UoTVtawwAcCzCACxHDW77svmXxvm0/dOk9/ze4k5KhpWUhZ0WSoCvbV+DfTH79MBCt51pUCyjWKmgY9cYGL9tvD6GB4bLQ7c/5NBrA7AhDMCS6kTVkVltZxnrEGw7s03a/+Req9lFBEfIxu4bpVaRWvo8NjlWB4LYpFhxN8GVM/YHqFK4isOuqwZ6qvETSvdKnvW4BPAkhAFYVvkC5WV5l+XGp281AK7GdzXc6tO3mkv/dcuvpXxE+UwzDdRKfO7EJ9A2aNC+6qOjewXyBuSVJ+990qHXBpCBMABLU9P6NvXcJBGBEcZz71rf15JNJzeJO5nVbpY8fOfDupyQmiDd53eXtUdtg+rcQWAV2zLE6em2T/GOMH7reLmQeEGXh9Ue5rDrArgWYQCWp5YHXtV9ldQvVl+fq27pfov6yQ+7fhB38lzN56RTRdsSxsqTvzwpCw4uEHfgE+STaW8CR/hmxze2a4uPtCnXxmHXBXAtwgDwj89afCY9KvUwzsdsHCNd53QVd/Ja3dfk6WpP6xukemTw4soX5es/v3Z1s9QGC1rNoo7ZPGji9om6B0QZUHmAQ64J4MYIA8BVhtYeKj89+JOxcM7O8zul/pT6el18d6Fuju81zpge+eGWD2XFkRUubZP8s01Avah6Drnc+5vfN8YgDKw20CHXBHBjhAHgX8rlL6f3CwgLDNPnl5IuSaOpjWTTCfcZR9C8dHN5v9H7evc++wp9YzeMdUlbgssEi4+PLTzdVfCuXF/v2+3fGusKdL3dvXpmAG9FGABuMK1vTfc1UjmysvFav8X93Go1wOZlmsvP7X82ejEm754ss/fPdno7QiqEOHSNgf/+8V99DAsIk0HVB+X6egBujTAA3MTkBybL6/VfF18fX2M1wGY/NpMDF2zr8LuaWpr321bfGufD1gyTEatHOLUN/vlszwiC/TLWGsipQcsH6fUUlPcbu9dS0YA3IwwAt9CufDv55aFfJI9fHn1+6sopaf9ze3lj/RviDtQiP0sfWmrsFjjzwEwZvXa00+qPuM82LTM5LTlX10lLS5Nfjvyiy2rth9pRtR3SPgC3RhgAsqBgSEHZ2GujPFQhYzncKXumyH1T7nOLwYVF8haR71p9Z5z/uO9HmbZnmlPq9guxreLo7/vPKMIcUr0a9tUG37jPPYIWYBWEASAbRtQbIV82+1LyBebT5xeTLurBhYsOLnJ10/Tz+hltZxg9GKPWj3LKoMLUuFR9vLPAnTm+hgpUc/6ao8u3579dWt7W0mHtA3BrhAEgm+oUryNru6+VcuHljNeeX/m87iW4kGBbMc9VKhaoKLPbZQwiVIMKzZ526B/ub/RO5NR/lvwn01oKAJyLMADk0E/tf5KvWnxlDJxTvQRNfmwiY9aPcWm7iuUrph8Z2GcZqGmHX/3+lWn1+fjZ6rFPL8wutc/C7vO7dblS/kpyd6G7Hdo+ALdGGAByoXax2rKu2zopG15Wn6tVAX/Y84PU/r62nI0/69JBhXPazzFmQXy07SOZ/9d8U+usWSRnqw8+sugRPVZA7SD5beuMmREAnIcwADhgZ8HZ7WfLjDYzjC2R41PiJXpatPSe39ul0w7fa5SxUuHLq192/G6HYRk9As1KN8v2b192eJlcSb2iy9UKV5Ng/9xPTwSQfYQBwEEqFqwo2/psk+iS0UYX/bYz23QvgX3KnLOpG/RHjT/S7UlNT9W7HW47vc1h1w+qHmTsVqh2gMyuketG6mOgb6B+5ALANQgDgIN93ORj+andT5LHP4/RS/DM8mek3pR6cjL2pNPb06R0k0yD8vot7KeXWHYEv6K2npCceHzJ48YWxWqBIbV7JADX4KcPMEHZiLKysedG+Tj6Y+PRweWky9JiRgvpNrebpKSkOLU9HSt2lB639zDGNTSf1lxiEmJyfd20i/9sV5jN9Ybik+Jl7fG1uqwWS2pUslGu2wIg5wgDgImiS0XLph6bpFKBSrqrXg2U23Fuh1T7vprM/WuuU9sytM5QebHmi0ZvhZr5kNtQ4l/CNq0wPdW2WFBWDVqRsefAZ80+y1UbAOQeYQBwwgDDaW2nya9df5V8AbbFilQoGLpqqFSdVFVm73Pe5kK97+wtdxe0Td1LTk+Wx5c+nqvr+RWy9Xr4BGR9WqEKQetOrNPlB8s+KDWK1shVGwDkHmEAcBI1wG5tj7Uy9r6xUjSkqH5NDeobtnaYdPipg/x55k+ntGNKmylyb6F7dXnjqY3SembrnF/snw6B9MSs9wyMWJOxkdKrdV/Ned0AHIYwADhZm3JtZEnnJdK+XHtj1sH+i/ulx/we0nZWW4cN7ruZSa0nSZE8thUD/778t7y86uUcXcceAlL+ztrjhk+3fSpJaUm63O32bkwlBNwEYQBwkdH3jZZtvbdJl4pdjNcOXTok9afUl5YzWpq+tPHCjguNwY1qX4CZe2dm+xq+Ebb/Qnzz3fq/kmOxx+S/v/9Xl8tFlJNX6ryS7foAmIMwALiQmk6nuspXdV0lVSKrGD0F6sapNkB6bsVzEpsQa0rdaizDyi4rJTQgVJ+PWDci+6sU/jNUICsDCHvN72WUR9a1rS8AwD0QBgA3EBEcId898J0s6LRAIoMjjUGGiw8vlrpT68rDCx6WhJQEh9cbFhyWaTT/0NVDs9cj8c/MwpTDN39MsPjgYjl7xbY8c+WClfVyyQDcB2EAcCPFQ4vL8q7LZUWXFVK1UFXj9c2nN0ut72vJg7MedPjjA3VjfqHGC7qclp4mD8x8IOvB45+egdRztm2Mr0dd67mVz+ly/qD88l3r7xzQagCORBgA3FDBPAX1pj1TWk+REqEljJ6Cg5cO6scHA5cNlOOxxx1WX5+7+sjQWkN1+XLyZWk8tXG2woBP8I2nFvac39MoP1n1SVYaBNyQbcUQAG5JbeerHh38FfOX9F3QV2KSYnQoWHF0hf4qlreYTGg5Qfco5FaPO3rIlN1T9CDGuJQ4eWP9G/JynRvPMrh6waK0s/88L/iXzSc3y94Le3U5Km+UdK3UVTzZ6djTsub4GjkZf1KS05Jl/fH1+hgeFG5sw6zKJ+JO6B0j1ZLUanaIv4+/+Pn6SWJqot7yOiUtRffCqMdDamVK9etF8xaV2ORYKZmvpD4vFlpM6hStI1WLVJWo0ChX/9Hh5QgDgIcsb7yq+yo5H39eRq8fLUv/XqpfVzcdNfMgj18eeaX2K9KuQrtc1TOnwxxpMb2Fvu6UPVP0jW5EvYx1Aa4WmxJr7FiYcjTlumGh36J+uqxuimpLZXelHmXM2jdLNpzcIHn988qmU5v0GIcAvwBJTEnUSzhn1cWki0ZZ3fyVpPQkY3yFWv3Rzj6OIlES5cDFA7p8Kv6U8euz9s/KdG0VMIJ8gyRfUD499qJp6abSqnQrPRgUyA3+BQEepEBIAfmgyQdyNvasDFg2QA5fOqxv2GobYLV4kZq616JMC3muhu0ZfU7MbT9X6v1QT9/Ipu+bLvWi6knzMs2v+T77J2Et7trr9F/SX/diKL3u6CWB/oHiSuoT+rQ902TJ4SUSnxwvCakJOvTcjH1NhOtR0zLVolFqBkhE0D+f8H399af40/Gn9Z4LRUKK6HLewLy6R0CN97B/rwogqhfh9JXTupdAXe9KyhV9w79R+FDfp97rK/FXZFn8Mln29zK9NbUS4h8iZcLKSLdK3aRDhQ65/NuC1RAGAA8UGRops9rN0t3NAxYP0J9kleNxx+WbHd/or9539Janqz2d7YV91E37fy3+Jz0X2J71v7rmValfor6+2VxNLVZk377Y/qnXbvuZ7bLl9BZdLhhcULfDWY5dPiZf/fmVbD+7Xfz9/GXn2Z2S9u8G3oTaTlndyNWNXo3XqFigoi6rT+INSzSU4nmLO+2TuOpd2XJmi2w9vVU2ntiog4V6RJGUmnTNn0n1OOw8v1OGrx2uv9SjhtsL3C7D6wyXOyPvdEp74bl80vVPsnu6dOmShIeHy9mzZ6VgwYKubg5yKTk5WebPny+tW7eWgIAAVzfH68w5MEdGrR91zUwANYL/3UbvSq1itbJ1PbUIkVp7QFGfan/r9VumX5+9f7YMWzNMh4GYYTFy9OhR4wamNmJSvQLqprq622rTVhpce3St7LywU3/iVzdJ1RZ7b8TNBPgGyD2F7pGLCRf1DbPr7V2lcqHK+pO9J1FbYn/1x1d6rwcVBG/Uo6B6L9RmWa/Xf12HmxvhZ9S72O+hFy9elLCwsJt+r2f9ywdwQ23LtdVfs/bOkkm7Jsn+mP369QuJF6T/4v46FNxX4j4ZVWdUlj7Zqm2PN5/aLD//9bPuUu84u6PMbJexSqFx4/zXvbff4n7GDblHpR4OCwLqE756DKJmUZxPOC/nEs7d8veobnPVo6EGWj5U8SH9yMObZjMUDS0qw+oNy/TallNb5I0Nb8jBiweNxxzq/dh1fpd0mtNJ9xiMrjda2pRv46JWwx3RMwCn4VOHc6lu/CeWPKGPV3cp+4qvNCvVTPrd3U/PVriVupPr6lHuytsN35ZWt7XSZbWfgVrG+Oqegd9O/iaPLHrEeDywouuKHLU9LS1NNhzfIGN/GytHY4+KT7qPbRDedag/T2hgqH7mXrVwVflPlf9IpfyVvOqmn1Oql0b13iw9slQS02yDGe3U35daX6LnnRlTP/kZ9S70DADQU9TmdpyryzP2ztCzENSzbxUMFh9ZrL9Ud/mLNV/U+yPc6Oa5vMtyaT6tuZ7W+OLKF/VNXj1yUIPdrqYeT/Rf1N+YPbCw08Js3bRWH18tn2z9RPZd3KcHyt2IuonVjaqrV2pU3ftZCTRWpXqA3mz0pi6rwYs95vXQ4UpR/xbe/O1NGb9tvCztuFRCgjOPCYG1EAYAC+hUsZP++v307zJh+wQ9Cl1RMxHGbBijv9RjhFH1R0njkpkXHFLd/N+0/Eba/9xenz+25DHZ0muL3F3wbv2JMz3F1rnYdW5X4/HAY5Ufu+njAXXz/+XoL3pkv1py+UY3f/WpP9AvUBoUb6B7MtRzfeR8C221ZoXqdemzoI/8fvZ3Y5Gp2lNryxfNvpAahWu4uplwEcIAYCFq6eEPm3yob8ZD1gzRz5fPXDljjC0Y+MtAvWZBybCS8n7D96V0RGn9a+Xyl5OuFbvK1L1T9SfK/vP7S5kCZWwX9RHxr+wvf138S59GhUTJo/c8et0FiFQI+WnfT/oGdD15A/LqT/61i9aW4XWH60V54FiqB0jtgxETHyPNZjQzHh88tvQx+bjBx65uHrx5zMD48ePlnXfekZMnT0qVKlVk3LhxUqvWrUc2M2bAu/A80j2pgXmDfx0sJ2JPXDNdTT1qqBBRQcbUGyOhwaHy7NJnZemxpXqcQHhAuFxKuWSbWqj+M/HxkfTYdMn7XV5ZvHCxBOUNkpn7ZsrSw0vlt1OZZyLYqR0T1Vx7NbL/pRovScEQfs6drducbrLj/A7jfFjoMOn4YEd+Ri02ZsD0MDB16lTp06ePfPbZZ1K7dm358MMPZdq0abJnzx4pXLjwTX8vYcC7EAbcn1ped/CKwdf95F4uvJzUK1BPJu2fJD5+PjoE6ABw1fHo/45K0QpFJTw6XOJTM1bau7rbX62mqJ73D6k1RPc4wPXa/9TeWAExREJkdY/V/Ix6AbcKAyoA1KxZUz755BN9rp5XlSxZUgYOHChDhgy56e8lDHgXwoDnSEpJ0p/qx/8+XmISY675dXsA+Pdryr9fj8wTKSVDS0r78u31dEW4p8oTM8ZjbOmxhZ9RL+A2YSApKUlCQkJk+vTp0r69bfCR0rdvX4mJiZHZs2dn+v7ExET9dfUfRAWHokWLip+fn1nNhJOof2rq/Q0KCrrmhgE3FiKSp1keCagQIL75fW/53qWnpUvq6VRJi0mTuJlx112qGO4nuEuw5KmSR/+cXnjvgvhc4GfU06kP3ydOnHD91EL1iT41NVWKFCmS6XV1vnv3Veua/2Ps2LEycuTIa15XYw0AuNA+kaCSQVL62dISkN/2ifG6PQPpIpe2XZITE09IysWsb+4D18u3Lp+UrlJav68X0i/IlWOZp47Cu7nVbIKhQ4fK4MGDjXN6BrwLPQOex6+Mn4R0DBHfcF89TuBG75vx2MBHJLxauITdG6aDQdrFNImbHieph1Kd3nZkT76e+Yz3Mn9CfilQvICrmwQH9Qy4PAxERkbqm/ipUxlbcirqXN3g/03dJNTXv23fvp0xA16AMQOeQS33++zyZ+VU3Ck5l5h5yV817U8NAlTL3NqDgT0IpKWmiU+qj/gH+kuqT6oOBn75/SRsgK17Uu1T0Lx0c73IkZrzDvdxJu6MNJneRJfVe3lo1yF+Rr1ozEBWmLpeZ2BgoFSvXl2WLbMtcGJPKuq8bt26ZlYNIBvUugOfbvtUOszuIPfPuF/vfnd1EIgIjJDxTcbLJzU/MYKAGhtgpwKBr5+vnF93Xi6Puix9yvbRixipFQ7t1JbIc/+aKw2nNpR7Jt4jjaY2kp/3/6wHK8J1EpISjCCg3Bdwn0vbAy99TKC6/dWAwRo1aui1BdTUwri4OOnXr5/ZVQO4hf0X9uu163ecy5hnbhcRFCHD6gyT+8vcr89jE2Klya9NjCBQMayi7Ivdp38tPS5dfEJ9pEDDAhJ8OVgeu+cxeaHBC/rXDsUckpdWvST7LuyTVEnVqw2qlQrVZkOvrHlFf6ld9e4seKf0vrO3NC3V1LRdDpHZ1pNbpc+iPsa5CnAt87R0aZvgpWGga9eucubMGRk+fLgeCFi1alVZuHDhNYMKATiH+iQ+aPkgvRfAv7f7LRBcQDpX6CwP3/mwXmToas1nNpcrqbZBZSPvHSkX/C7IR1s+kvTkdLn43kUpPLKwXt44qU2S5M2b1/h9ZSLKyNS2U42ewQk7Jsj3u76Xy0mX9W6IimqHCiRDVtmmG/v6+Er9qPpSPqK89KrUSwqH3nxNEmRft7ndMoXAfAH5ZFmnZfpRHqzHKQMIn3rqKf0FwHXm/zVfxm4cK5cSL2VaaVBtKlQ2vKwMqz3shpv+fLT5I2PnQrX4UKeqnWTshrH63MffRyRJpN9d/eSLP7/QN/ZHlzwq37T65rpL4fav3F9/KbFJsfo6vx79Vfc42Nc0UL0Hq46t0l8qPKjHDSVCS+i2drm9i3Qo34FdCXPoyaVPyspjKzO9Vj68vMxqP0uP64E1udVsAgCOHwswbts4mXdwnpyKzzyQVw3o63VHLxlUfdBNr/Hdzu/kq+1fGd3IP7X/SZfPJfwzpuCfCQYDqw2UhQcXypHYI7L59Gb5+cDP8mC5B296bbX18JgGY4xztbPe+5vel90XdsuZ+DNGHarH4eClg7r82rrXZOS6kbr3ICQgRG/HrBY0qlqoKgHhBg7GHJQBiwfIqSuZ/w2owaBvNnhTWpW1bUsN6yIMAF5I3VTVssKbTm265tfuibxHxjcdn6VNgNRN5K3f3tJl9el8YceMbYlLhZa65vtnd5gt9afUl/iUeHll9SvSpHiTax433IyaZTD6vtGZwsw3O7+R43HHZdGhRXIp6ZJ+XfU+qA2T1KOGWftn6S/7bIeKERX1IMdaRWvJgLsHSKHQQmLVPSdeXv2y3kDq34+D1BiN/nf1l2dqPOOy9sG9EAYALzJr7ywZ+9tYuZKSecGYwiGF5Zl7n5EHy9/8k/rV1PP9RxY/Ypy/WvtVCQnM2PP+7sh/HilcdZ/x9/WX56o/J6M32G7o/Zf0N8YL5IS/v7+xA6LaxVA5H39e5vw1RybunKhDj+ohUDd/RQWEXRd26bJaa3/KninGzU/9HdxR4A49OPGB2x6QhiUaelVPwu5zu+WdTe/IznM7jUc6/xbsF6zfn253dHN6++DeCAOAFxi1bpSsPLoy06MA1QV8W/ht+iZarUi1bF+z5YyWcvbKWV1Wgwo7VOxwzXoE2r/WIepSqYu+Ce+P2a+nKM45MEfalmsrjlIgpID0vbuv/rI7HHNYvt7+te4GP3zxsByLO5bp96hPxurvxv73s/DQwms2T1LhR+2gGF0yWmpH1ZaK4RV1GHE3MQkxMvfAXL0d9IGYA7q3RIWgG1GPg2oVqSUfRn8ogf6BTm0rPIf7/UsHkCXq5vXln1/Kf7f9N9OAQPUpuEqhKvJ5s88zfZLPjv8s+Y+ciLetXFa7aG0ZXs/2qfxq4cE3XsxkRtsZUu+HehKXHKe7qpuWbJrjtmRF6YjSMuq+Udf8/agu8nFbx8mOszskyD9ITsSd0OMPMn2fpOngYrf1zFaRLRm/rh6PpKSl6MGLahDjhcQLUjC4oA4M5+LPSfF8xaV2kdq6l+G2sNv045fs9jioxx0qxKhP9RcTL8ofZ//QwSUhJUFOx5/WAyrtMzluRT0qKRJSRPd+PF396Wy1A9ZFGAA8jBqB32tBL/2p8GrqpjWy3shcfwpfdXSVrDm+Rpf9ffzls6afXff77oq8Sx/1SoT/WhZA3QwHVxuc8bhgcX+Z0sbWZe8sqg3l85eXj5p8dN1P12uPr5Uf9/6oA4JaVGnPhT36E7YKU1c/Y7eHBzUOYm/MXl0+c+WMHuRo97l8Lq6gHpGotpcJL6N7b9qUb+OSdsDzEQYAD3Ey9qQ89ctT+lPs1d3CFSIqSM87ekqnip1yXceWU1vk/5b9ny7n8cujZw7cqKu8aJ6MJcV9I679JKweF3y/+3v96Xz7ue3yy5FfpEmpjJXuXEl9em9dtrX+utHftWpvTFKM7Dm3R3ac36FvvKlpqXI2wfboRJ2rHgMzqS5+tbqj2gZalSvkr6DHOqiFoFiYCY5EGADcnHom/PKql/Vc/KuFBYbJR9EfSY2iNRxSj/rk+/DCh43zb1t9K1GhUTf8ftXtb9+XwK/49TcSm/HgDKk7ua5eXEgtdLSl5xa3fA7/b0VDi0qPO3tk+fvVIwnVna9mPaiAoEbyJ6UmSZ6APLoHR02BVDdz1aNQNG9R3dug/u5uL3C7Xqa5WN5icmeBO2/66AUwk/v/VAIWpQbo9ZrfS99ArqYGBU64f4IUzOO4zbvUzazrnK5G93iPSj3k9oK3Z/n3++a9/jNyNbvg0cqPyifbPtHXfmbFMzK+2XjxNuqRhAoQ6kupVayWq5sEZAthAHAzZ2PPysAVA/VIfDVwzK5eVD0ZUXfETT+t51Sz6c2M0KHmnw+qcfOFiAyqeX4i6QmZ57Ff7fEqj8u0PdP0SH+1oqAazGcfbwDAPXjPJFvAC/YMGLx8sETPiNbP2O1BICpvlF4z/vPmn5sSBNRywPYgEBkcmfUgcNW0Qv8KN/9c8XP7n/VgRNU7oHo7ALgXwgDgYmqVvT4L+kj176vLkiNLjNfVSnpruq+RRQ8tMm2jnrHrx8rk3ZONBWmWdMqoPzthwC//9ccMXD2+oFnpZrqckp4iH2/5OIctBmAGwgDgQuqmWH9qfdl6eqvx2t0F75bZ7WbLjHYz9CBBs0zeOVkm77EFgdCAUFnVbVW2B/elJ9oeD6TH3/gxgd07jd6REH/bWgMTd9hWDwTgHggDgAusPbZWqkyqohcNUqP4FbWojRoYqObjqxXxzHTwYsaeA8qXzb/M0VS19Mv/hIAsLmz3Y5sf9VEtH9x+dvts1wfAHAwgBJxo+5nt8ujiRyUuJc54TYWAr1p8JfcUuscpbVCbD7Wb3U4/v1cL7Lxe//Ubbl18K75hts8T/kWy9l9J6fDSUjK0pPwd+7ecTzgvW09tlXuL3JujugE4Dj0DgBOoZWWHrxku3ed3N4KA6jLvWamnbOy50WlBQPVCqE/k9imEHzX+KFubF/1bWnJatv8nmdlupl6wRxmyakiO6wbgOIQBwGSj142Wmt/XNLbZVe4tdK+s675OhtQe4tSBih1+6mDsY6BWsYsuHZ27a+5KyTR2ICvU44jR9WzLFKtFep5d/myu2gAg9wgDgEk2ntgo0T9G6/Xv7eoUrSO/dP5FJrWe5NTtc9WiQmrjIHXzVR656xF5t9G7ub5uuq8tBPjk+dfWhbegeiPUXgrK0iNL9bRKAK5DGABMuPE+sfQJvTmPfQtgdeMb22CsfHn/l1IopJDT2/TwooeNXe/KhJWRZ2s46NO4fYuE7GUBTS2lbDd87bW7IgJwHsIA4EAT/pwgVb+tKquPrTZea1eunWzpvUXalHXNjnKtZ7Q2pi6qrW3ndJjjsGsn78/YDji7m/Y0KNFAGpdorMvzDs6T30//7rB2AcgewgDgAGpL3P4L+8v7W943BufdVfAuWd5pubx+3+sua1fH2R31yH2lUoFKsrTzUodeP2WfLQCozYr2XrBt75sdo+qPMsqPL33coW0DkHWEASCXxm0eJw2mNpCNpzbqczVdb3C1wfJDmx8kMjTSZe0atW6U7IvZp8uBvoEypdUUx1eSJHr3PWXBwQXZ/u35g/NLraK2TX3ikuNk86nNDm8igFsjDAC56A1o8mMT+WL7F8Zr9aPqy7be26Rf5X4ubVvv+b1l2t5pulwitIRe1tjsrYMPXDiQo9+nFjxSKyAq/Rf1d3CrAGQFYQDIgTXH1ujeAPsGP2pdfzVA8LPmnzl1lsCNeiq2ndmmy34+fnpp45ysLphVqbG2UYT58+TP0e9Xf19qXIW+VnqqjFk/xqHtA3BrhAEgm3P1m01rJv9Z+h/jtbLhZWVDjw0uGyB4NfXJ2t5ToR4NrOiyQgL9s7hWcA7ZHxOsP74+x9dQ6y2o9ipzD8zVMzIAOA9hAMiiFUdW6N6AU/Gn9Lm6eb3T8B2Z3X62y3sDFLX98caTGzM2Huq+SiKCI0yv18fXNq9QLS+cG/+7/3/6GJsSq6dlAnAe9iYAsmDgsoGy4ugK4zwyT6Qs6LjA1O737Hhu+XPG9sdqAOPc9nONHQLNlng8Ufwr+ouf7823Mb6VKoWr6H0arqRckU2nNumFiMzu1QBg4/qPM4Abi02IlfqT62cKAi/XelmWd1nuNkGgx7wesvjIYl0uFFxIlndeLgVDCjqt/osbL+pjcmrGmgM5NS56nFF+b/N7ub4egKwhDAA3sOPMDqk/tb5cSr6kz8MDwuXndj9L9zu6i7tQ0wf/PPunLqvNf35q95NTg8DVYwbUngdqQ6bcqB1VW2oVsU01nLx7cq4fPQDIGsIAcB0vrXxJus3vZmzqUyGigqzusVpui7hN3EWrGa2M6YNhgWGyqssqCQsOc3o7Lqy5YASCq1dezKkXar5glHvP653r6wG4NcYMAFdRo9i7zusqu8/vNl5TUwbdYabA1dRqh0djj+pyXv+88mvXX8Xf10U/zqozQGUmP5GTcSdzfblKBStJ4ZDCcjr+tP4zxifFS0igc8Y/AFZFzwDwj7ikOKnxfQ0jCKg5+tPaTHOrIKCmNtaZXMdY7VANElzddbXrgoDdPzsYT9873SGXm952uh4IqXpmOs3p5JBrArgxwgCg5sgfWy91p9SV5DTbILj8QfllS68t+lOqu1DP49XURrVsr1K1UFXZ0HOD6SsLZicMOKJnwL5MsZqxoajegXPx5xxyXQDXRxiA5c3YO0MGLB1gbDAUXTJaVnZb6RZrB9j9fflvqT+lvp6Dr0TljZJvW38r7iL1tG0VwgC/AIddc1LLSUaZmQWAudznfzvABV5Z/Yq8tu4147zvnX3l4yYfizs5eOGgtJ7ZWpLSkvR5nzv6yKKHFok7STpga9vFRNs0Q0coEVZCGhRvoMtz/pqj94IAYA7CACzrkUWPyM8HfjbOv27+tTxf83lxJ5N3Tpb2c9ob59ElouWFWhmj7d1FeqytV0X1rqgBf47yfI2M96Pvwr4Ouy6AzAgDsKRe83rJbyd/yzRQsFaUbX67uxi7YayM/W2spKWn6cF0r9Z+VT5u6l69FnZJG2w9A8qaE2scdt2yEWUlMtg2duDIpSOSkpbisGsDyEAYgOW0ntFafj/7uxEElj20zK0GCip9FvTRi+7Yja4/WrpU6iJuK0UkyC9IF387YQtZjjL5AdvfQ0p6ivRdQO8AYAbCACzlgZkPyN+xf+uyunmt7bbW6Sv23Wqdg0Y/NJKtp7fq87CAMJn6wFRpV962xa87S02zDSJceGihQ69bLLSYsc/CH2f/cOi1AdgQBmAZraa3kiOXj+hyHr88sr7berdazEbNGKg3pZ6cT7QtwRvoF6g3Q7oz8k7xBCEBtr/L2GTbjAdHGl1vtFH+YdcPDr8+YHWEAVhCh9kd5Gjc0Uw9Am4xP/8f646v0zMG4lJsawjUKFJDNvfa7JLlhXOqVZlWxh4JjtbithZSNKSoLo/dONbh1wesjjAAr9dvQT/ZH7PfCAKqR8CdgsDzvz4vjy15zDhvWKKhTGg5QTyN2mRISUxNNGWDoQ4VOuijWpVw4o6JDr8+YGWEAXi1ISuHyKbTm3TZT/xkdbfVbhME1PiAjrM7yqJDtjUD/H38ZVitYTK+6XjxRI2KNzLKE7c7/mb9f1X/z1h2efb+2Q6/PmBlhAF4rel7psu8g/OM82Wdl0mwf7C4g73n90q176rJvph9Rtf6j21+lK53dBVPFegfKAG+thUIT8WfMqWO/nf110f197b1lG2QJYDcIwzAKx2MOSgj1480zv/X4n9uM2tg7oG5evOd1HTb6Pt6xerJ5h6bpUKBCuLpCgbb/o5XHl1pyvX/c89/jPKLq140pQ7AityjvxRwcPd7+9kZq/aprveaxWqKO+w42G52OzkSa5vRoNxf5n55t9G74i3saw1cTr5syvXVI56KERVlb8xeOR13Wm/e5C69PYAno2cAXqfNrDZ6kJl90yF36Hr//fTv0vDHhkYQUIsdzWo7y6uCgNK6bGujnJSSsSqhI33e/HN9VO/xwF8GmlIHYDWEAXiVSdsnGYsKhQWGucWmQ2PWj5FeC3oZn5YjAiNkfY/1Ur5AefE2j979qFGetDNj10FHigyJzFjt8J8lpQHkDmEAXkN9En1n8zvG+aIOrt3Z73Tsaan9fW35YU/GIjmdK3aWVd1XeW3XthpEaDdr/yzT6nmyypP6qMZdLDroXjs4Ap6IMACv0Wx6M6M8sOpACQ0OdVlb3vntHWk2o5nEp9h28CsYVFCmtJ4iw+sOF28XGmD7e7+cZM64AaVf5X7i+89/X1cPFAWQM4QBeIX1x9bLhcQLuqzWsX+sSsYiPs4UmxQr9025T3eRq+18lbsK3iUruq2QuwvdLVbQsUJHfYxJjDG1ntsibjNCB7sZArlDGIBXeHr500ZZDcxzhaErh0rdKXXlYtJFfa4+uc5oM0N+aGOttfQrR1bWRxWG/jht3sZC46MzFmcasmqIafUAVkAYgMc7fPGwXEm9ostF8hSRqLAop9a/8cRGqfVdLZl7cK7xmt5boOdmqViwolhNy9taGuUZ+2aYVk/xsOLGQMIlh5eYVg9gBYQBeLwe83oY5altpjqtXjXHvde8XtJ/cX8jjKglhT9t+qneW8Bdlj12heJ5i+vj+hPrTa2nbdm2+piWnian4sxZ9RCwAsIAPN6l5EvGjdhZqwy+ueFNqfl9Tfn97O/Ga81KNZOtfbbKfSXuE6vz8fHRx+Nxx02t55VarxgDCa/e7AlA9hAG4NG2nsxYn75l6YzuabNM3TVVqkyqIt/v/j7Tp+BfOv8iH0R/YHr9nqJT+U5G+Vz8OdPqUb0vYUG2bZ7/uviXafUA3o4wAI82bts4ozy6/mjT6pl/YL5U+7aavL7xdd0lbZ+18E7Dd2ThQwulUEgh0+r2RA/f9bD4iK134P3N75ta17P3PmuUt55m8yIgJwgD8GiHLh4yymY8o/9x949S/dvq8tLqlyQ5LdlYSrjPHX1kQ88NmQbLQTK9F2onRmXZkWWm1tXx9o76EZEyaPkgU+sCvJV1RzjBK9j3IDBjTIBaOdC+s6Cink1Hl4qWD6M/NKVOb1MitIQcvpwx08NMkXki5WT8STmfcN70ugBvRM8APFq58HJG+c9Tf+bqWidjT0qnnztJ5YmV9ZgAexBQ3d2NSjTSUwUJAlk3pv4YfVSPVTad3GRqXS/Xftkoz94/29S6AG9EGIBHG1F3hFHusTBjimFWxSbEyoCFA/R4gOYzmsveC3uNX/MTP+lQvoP80fcP+aTpJ5aeKpgTVYpUybQ8s5lUj419jMIHmxnICWQX/7vBo5UKLyVBvkGSmJaoz9Wn+jH1xsiDFR687venpKTIpF2TZPKuyXI24WymxwB2ef3zyvM1npeHbn/I9PZ7OzXIUu3PcCLuhOl1FcpTSE5fOW0sSw0g6wgD8Hhru6+V6t9XN85fWfuK/lLsnxbt+wTciBrsVrdYXXm7wdsSFmybqobc61mpp3y5/Ut9g1a7Sl69q6EZvURP/vKkfiyx5NASaV6muWl1Ad6GxwTweOoGo57nhwVcexNXIeBGQUCNQK9VtJYs7rhYfu/zu3zW/DOCgINd3bvy1m9vmVpXw5INjTKPCoDsoWcAXhMI1vRYI/EJ8fLq2ldl3Yl1Ep8arz8lqk/9gb6BEh4Urne6G1ZzmJSKKOXqJltCVGiUBPgG6GmZf5wxb9MiuwJBBeR84nn9BSDrCAPwKiHBIfJek/dc3QxcpXrh6rL+5HrZfWG36XV1rthZPv/zc4lLjpOzsWclMjTS9DoBb8BjAgCm6nVnL6M8fe90U+t69J5HjfKH25gGCmQVYQCAqRqVbKQfFSg/7P7B1LqC/YMl1D9Ul1ceW2lqXYA3IQwAMF3hkML6uOfCHtPrigyxPRq4kMAUQyCrCAMATPdklSeN8oYTG0yt69G7Mx4V7Dq3y9S6AG9BGABgurbl2+oZHcrLqzKWDjZDuwrtjPJbG82dzgh4C8IAAKcoEFxAH9UqgWaz72J44OIB0+sCvAFhAIBTDK873Ch/u/NbU+uqVLCSPl5MvGhqPYC3IAwAcIoGJRqIn4+fLn+y9RNT62pUvJE+qtUnz8WfM7UuwBsQBgA4ze35b9dHtXlRfFK8afU8cvcjRnnijomm1QN4C8IAAKcZFz3OKD/1y1OmLk9t36Rq8ZHFptUDeAvCAACnKRxaWIL8gnR506lNptaVNyCvPsYkxphaD+ANCAMAnKrfXf2M5/mz9882rZ6ieYvqo9qnAMDNEQYAONWT92YsQPTmxjdNq+e+4vcZ5ZSUFNPqAbwBYQCAywYSxibHyulYc9Yd6FGxh1Fe8vcSU+oAvAVhAIDTTWyZMcJ/wNIBptRRLKyYUV56aKkpdQDegjAAwOnyBuaV8MBwXf7r4l+md+PvvrDb1OsDno4wAMAlPmr8kVF+cnnGOAJHsm+dfD7hvCnXB7wFYQCAS1QvVl0C/WybF607vs6UOuybIyWkJJhyfcBbEAYAuMyIWiOMaYYvrXzJ4dcPD7I9ikhJZzYBcDOEAQAu82DFB40dBhccXODw60cERTj8moA3IgwAcKkhtYYYvQODfhnk0GtHBBMGgKwgDABwqa6VuhoD/Zb9vcyhMwuKhxR32LUAb0YYAOByr9d/3Sj3XNDTYdcN8LeFDAA3RxgA4HKty7aW0IBQXd55fqccuXjEIdcNCwhzyHUAb0cYAOAWJrSYYJS7zOnikGvGJLFjIZAVhAEAbqFSZCWpEFFBl+NS4+SL37/I9TXPxp91QMsA70cYAOA2fnzgR/ERH10et21crhcLikmkZwDICsIAALfh7+8vg6plTC9sOq1prq53+PJhB7QK8H6EAQBu5ZHKj0iRPEV0+VLSJXlz/Zu57hmw9zYAuD7CAAC383P7n40b+Pd7vpftZ7bn6DrJacn6mMc/j0PbB3gbwgAAtxMSGCJvN3jbOO8+v7vEJsRm6xppaWlGOSo0yqHtA7wNYQCAW2pZtqW0Kt3KOK//Y/1srU44dsNYozy42mCHtw/wJoQBAG7r7cZvS9mwsrqclp4mNSfXzHIgmLZ3mlFuULKBaW0EvAFhAIBbm91hthQIKmBsRVzt+2q3fGSw8fhGSZVUXc4fmN8p7QQ8GWEAgNv7tduvEh4YbuxuWHdqXZm6a+oNv7//kv5GeVKrSU5pI+DJCAMAPMLq7qulWN5ixvnrG1+XqhOryrqj64zXDsUcksoTKxvnaopimYgyTm8r4Gn8Xd0AAMiqxQ8tlmeXPStLjy7V5+pRwGPLHrvu96qpiQs7LnRyCwHPRM8AAI/yQdMPZEH7BTddO0D92paeW/SKhgBujTAAwOOUCC8hG3tulHVd10mdYnUkr39eCfAJkMLBheXb+7/Vv0YQALLOtJ+WMWPGyLx582Tbtm0SGBgoMTFsGALAsUKDQ+XLFl+6uhmAxzOtZyApKUk6d+4sTzzxhFlVAAAAd+4ZGDlypD5+8803ZlUBAAAcwK0eqiUmJuovu0uXLuljcnKy/oJns7+HvJfeIz093Tjyvno+fka9S3beR7cKA2PHjjV6FK62fPlyCQkJcUmb4HhLlixxdRPgIPbwro7z5893dXPgIPyMeof4+HhzwsCQIUPkrbfeuun37Nq1SypVqiQ5MXToUBk8eHCmnoGSJUtKdHS0FCxYMEfXhHulVPWfTPPmzSUgIMDVzYEDBAUFGcfWrVu7ujnIJX5GvYu9d93hYeC5556Thx9++KbfU7asbVORnFD/odj/c7ma+kfJP0zvwfvpPXx8fIwj76n34GfUO2TnPcxWGChUqJD+AgAA3sO0MQNHjhyR8+fP62Nqaqpeb0ApX768hIaGmlUtAABwlzAwfPhwmThxonF+7733GoMBGzdubFa1AADAXRYdUusLqOlG//4iCAAA4F7YmwAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIsjDAAAYHGEAQAALI4wAACAxREGAACwOMIAAAAWRxgAAMDiCAMAAFgcYQAAAIszLQwcOnRI+vfvL7fddpvkyZNHypUrJyNGjJCkpCSzqgQAADngLybZvXu3pKWlyeeffy7ly5eX7du3y4ABAyQuLk7effdds6oFAADuEgZatmypv+zKli0re/bskU8//fSGYSAxMVF/2V28eFEfz58/b1Yz4UTJyckSHx8v586dk4CAAFc3Bw6QmppqHNX7Cs/Gz6h3uXz5sj6mp6e7Lgxcj7q5FyhQ4Ia/PnbsWBk5cuQ1r1esWNHklgHIjZMnT0pkZKSrmwHgBqEgPDxcbsYnPSuRwQH2798v1atX170C6nFBVnoGYmJipHTp0nLkyJFb/kHg/i5duiQlS5aUv//+W8LCwlzdHDgA76l34f30Lur2roJAVFSU+Pr6OrZnYMiQIfLWW2/d9Ht27dollSpVMs6PHTumHxl07tz5hkFACQoK0l//poIA/zC9h3oveT+9C++pd+H99B5Z/SCd7TDw3HPPycMPP3zT71HjA+yOHz8u0dHRUq9ePfniiy+yWx0AADBZtsNAoUKF9FdWqB4BFQTU44EJEybcspsCAAA4n2kDCFUQaNy4sX7mr8YJnDlzxvi1okWLZuka6pGBWpvgeo8O4Hl4P70P76l34f20LtMGEH7zzTfSr1+/6/6ak8YsAgCALHDabAIAAOCeeIgPAIDFEQYAALA4wgAAABZHGAAAwOI8JgywJbL3GTNmjF6MKiQkRCIiIlzdHGTT+PHjpUyZMhIcHCy1a9eWjRs3urpJyKGVK1dK27Zt9bK1Pj4+8tNPP7m6SXAyjwkDV2+JvGPHDvnggw/ks88+k5dfftnVTUMOqSCnlqh+4oknXN0UZNPUqVNl8ODBOpBv2bJFqlSpIvfff7+cPn3a1U1DDqit5dV7qAIerMmjpxa+8847ekvkv/76y9VNQS7XpBg0aJDemAqeQfUE1KxZUz755BN9roK62uBm4MCBev8SeC7VMzBr1ixp3769q5sCJ/KYnoGcbIkMwJwenc2bN0uzZs2M19RS4+p83bp1Lm0bAIuFAbUl8rhx4+Txxx93dVMASzl79qykpqZKkSJFMr2uzk+ePOmydgHw4DCguhRVt9TNvtR4gatldUtkeMb7CQDw0o2Ksootkb1Ldt9PeJ7IyEjx8/OTU6dOZXpdnWd1EzIA7sXlYYAtkb1Ldt5PeKbAwED9M7hs2TJjkJkaQKjOn3rqKVc3D4AnhgFnbokM93LkyBE5f/68Pqpn0Nu2bdOvly9fXkJDQ13dPNyEmlbYt29fqVGjhtSqVUs+/PBDPT3tRjuVwr3FxsbqcVh2Bw8e1D+PaoB2qVKlXNo2OIfHTC1kS2Tvox4nTJw48ZrXly9froMf3JuaVqim96pBg1WrVpWPP/5YTzmE51mxYoXudf03FfjU/73wfh4TBgAAgDl46A4AgMURBgAAsDjCAAAAFkcYAADA4ggDAABYHGEAAACLIwwAAGBxhAEAACyOMAAAgMURBgAAsDjCAAAAYm3/DxJVnB2en55yAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 74
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T10:48:51.713952Z",
     "start_time": "2025-07-20T10:48:51.625635Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 恐龙选装\n",
    "\n",
    "rotation_angle = pi / 4\n",
    "dino_polar = [to_polar(v) for v in dino_vectors]\n",
    "dino_rotated_polar = [(l, angle + rotation_angle) for l, angle in dino_polar]\n",
    "dino_rotated = [to_cartesian(v) for v in dino_rotated_polar]\n",
    "\n",
    "draw(Polygon(*dino_vectors, color=gray), Polygon(*dino_rotated, color=red))"
   ],
   "id": "f6b7c8bb49c36fa9",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 75
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T14:37:18.698857Z",
     "start_time": "2025-07-20T14:37:18.625561Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 接收笛卡尔坐标向量数组，并将这些向量旋转指定的角度\n",
    "def rotate(angle, vectors):\n",
    "    polars = [to_polar(v) for v in vectors]\n",
    "    return [to_cartesian((l, a + angle)) for l, a in polars]\n",
    "\n",
    "\n",
    "rotated_test = rotate(pi, dino_vectors)\n",
    "draw(Polygon(*dino_vectors, color=gray), Polygon(*rotated_test, color=red))"
   ],
   "id": "661e0164338160e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 78
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T15:44:54.070990Z",
     "start_time": "2025-07-20T15:44:18.438654Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# n边形所有角和边长都相等各顶点的笛卡尔坐标\n",
    "\n",
    "def regular_polygon(n):\n",
    "    return [to_cartesian((1, 2 * pi * k / n)) for k in range(0, n)]\n",
    "\n",
    "\n",
    "result = regular_polygon(8)\n",
    "draw(Polygon(*result))"
   ],
   "id": "17facd9db4d27e02",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ],
      "image/png": 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Y4VhTq7y1t0q/rjYRAvyN2pkwb3ysdHR2ydqtpXafDgxDGIARVO1se0eXLo6ZnhJj9+kAF7068EJ+WXcfBjAcCANwvbMdnfJCvuc3La4KwJ+pBky198XxU62yfl+13acDgxAG4HrvFtRKVcMZGTMyVL40Y6zdpwNckBp1VdsTK6oxExguhAG43nNbPOOEah/4sOAgu08HuKi78tIlKDBA8ovr5UD1ueZMwJcIA3A1NbettntVWwqoJ1nA3yVGh8uSaYn6dcYMMVwIA3A11RSnXJOdSDMcHOOe+Z6FhK/trJDGM+12nw4MQBiAazW3npXfby/Xr9/LwkE4yPzMWJmUGCktbR3yqvdrGPAlwgBc67VdFdLUelbGx42Uy7Pi7D4doM8CAgLknvmeAEtfAYYDYQCupJ48rR0H785Lp4cAjrPM21dw5Fiz/IW+AvgYYQCuRA8B3NBXcMucVP26FWwBXyEMwJWsVdjLZtFDAOeyNsmirwC+RhiA69Q2nZH19BDAZX0FL9BXAB8iDMB1Xswv6+4hmJZMDwHc0Vewlr4C+BBhAO7rIfD+BmU9iQJO7ytIjKavAL5FGICrvFtQI9WNnh6C62ck2X06wJD2FTy32bO1NjDUCANw5cLBO3LpIYB7qDAQHBgg24pPSEEVfQUYeoQBuEZhbZOex/b0ELBwEG7rK0jq3oQIGGqEAbjG81s8awWunZIoKaNG2H06wJCyJmPoK4AvEAbgCvQQwO3UiKHVV2B9rQNDhTAAV1i381wPwWUT6CGA+9BXAF8iDMDx1JOiVVW8cn4GPQRwreVzUiUyLFiO0leAIUYYgOOpFdaqh2BESJDcluPZyx1wIxUEbpmTol9/ljFDDCHCABzPelJcNjtZYkbQQwB3U1e/lA37a6TyJH0FGBqEAThabaPqIaju9SQJuL2vYH5mrHR2CX0FGDKEATjai9vK5Gxnl+RkjKaHAMawttp+cVspfQUYEoQBuKSHgKsCMMfiqVZfQZu85W3oBAaDMADHUvdMVQ9BXGSoLJ1ODwFM7StgR0IMHmEAju8huH0ePQQwz13evoJPSk7I/kr6CjA4hAE4todg81F6CGCuBNVX4L0iRl8BBoswAEeyLo0uoocABrN2JFR9BQ2n6SvAwBEG4DinVA/Bjopeq6oBk/sKTrfTV4DBIQzAcdRvQSoQZMaNlEsnjLH7dAB7+wq8gVhtyU1fAQaKMABHUU921i0CeggAkeWzUzx9Bceb5eNC+gowMIQBOEp+Ub0crPH0ENxKDwFAXwGGBGEAjvKsd9U0PQTA5xcSvltQIxX0FWAACANwVA/B294egnvms3AQsExMjJIFmWN0X8Fa+gowAIQBOMbafE8PwdyM0TI1Odru0wH8yj3eLblVX0Hr2Q67TwcOQxiAI7SrHoL8kl5PegDO31dgNXkCfUUYgGN6CGoaW+khAC7SV3BXbkavrbqBviIMwBGsccI75qXTQwBcwJ25abqvYHvJCdlX2WD36cBBCAPwe4drevYQeJraAFy8r0BtQgT0FWEAfs8qYVH3RJPpIQAu6t7uvoJK+grQZ4QB+DW17fCr3h4CxgmBL5Y7PlYmJ0bRV4B+IQzAr62zegjiR8plWfQQAH3pK1jpnbhRtwo61eYDwBcgDMDPewiKu3dYU09yAPrZV3DkuN2nAwcgDMBvbS2ql0M1p3QPwS1z6CEA+koFgVu7+wpYSIgvRhiA3y8cXDY7hR4CoJ+szbk20leAPiAMwO97CO5lx0Gg37ISzvUVvLCVqwO4OMIA/NIL+aW6h2DeuNEyZSw9BMBAWEH6xfwy+gpwUYQB+GcPgbd5baV3ZhrAwPsK6prb5K099BXgwggD8Msegtom1UMQJtdPH2v36QCOFdyjr8BagwOcD2EAfudZ7zih2mc9NJgvUWAw6CtAX/BMC79yqKZJthytl6DAAHoIgCHqK7CaPq3CL+CzCAPwK9aT1aIpCTI2hh4CYCjcu8CzlfdruyqkoYW+AnweYQB+1kNQ3uvJC8Dgqakc1Vdwpr1TXvF+jwE9EQbgN9btKJfmtg6ZED9SLp1ADwEwVNRW3tYmRPQV4HwIA/CbHgJr21R6CADf9RUUHW+WjwrpK0BvhAH4TQ/B4dpTEhEaJLfk0EMADLWRPfoKGDPEZxEG4FcLB1UPQXQ4PQSAL9BXgAshDMB2NaqHYF919y0CAL7rK1DrcdSSgTVcHUAPhAHYTm09TA8BMLx9BS9to68A5xAGYHsPwdp8Tw/BPYwTAj63aEqiJEWH01eAXggDsNU7+871ECyd5tklDYCP+wq8u3taW38DhAHYynoyuoseAmDY3JGbJiFBAbKj9KTsraCvAIQB2OhgdZMeKVQ9BHfSQwAMm4Qo1VfgaQSlrwAKYQC2UTuhKYunJNJDAAwza3LnD7vpKwBhADZpOtPeo4eAcUJguKnpnewkT1/By9vL7D4d2IwwAFus21nR3UOwgB4CYNjRV4CeCAOwpYfAuk9JDwFgn2WzUiQqLFiK61roKzAcYQDDLr/4BD0EgL/0FXi/B62iMJiJMIBh9/zWsu4WNXoInKehoUHKyz3rPT5LvV/9OZxjpXch4XsH6Csw2bCEgaeeekrGjRsn4eHhkpeXJ/n5+cPxaeGHTraKbCio1a9b9yvhHOoH/dKlS+Wqq66SsrLei87U2+r96s8JBM6RlRApl2V5+grW5p8/5MH9fB4GXnrpJXnooYfk+9//vuzYsUNmzpwpS5Yskdpazw8EmGVzbaB0dHZJ7rhYyU6ih8Bpmpqa9Pfu0aNHZeHChdLR4dnbXr1Ub6v3qz9XHwfnjRn+bnu5nO20+2zgyjDwwx/+UO677z75+te/LlOnTpWf//znEhERIb/5zW98/anhhz0EH1d7FgtyVcCZUlNT5f3335fMzEz9g//YsWP6/eqlelu9X/25+jg4q69gbEy4nGhpl511LOg1UbAv//K2tjbZvn27fOc73+l+X2BgoCxatEg2b978uY9vbW3Vh6WxsVG/nD59ugQFBfnyVDEMAvLulqCJV0rXmWa5/6YFcn8njWlOpa4EqO/JnlcG1NstLS2yYMECu08PAxAw/UsSNOtmeXZPs/x2ykwJOON5/oVzdXZ2+kcYOH78uH6SSExM7PV+9faBAwc+9/GrV6+WVatWfe791dU0a7lBSsJk/fJs8wmpLPM0FcI91Pc636vONWLkXkmYdbMEjoiW6uZ2aa+usPuUMIx8Ggb6S11BUOsLel4ZSEtLk6SkJK4MuEDXR78SueF7EhybLCmTZog019t9ShjED351a8C6MqCo79H4+Hi+Vx0qcM5S/bL9aL7EB7ZIQEqK3aeEIbgyUFVVZX8YiIuL008MNTU1vd6v3lY/4D8rLCxMH5+1d+9eGTOGXeqcrr29XW74wXo51BAo3/rv38k/Lc22+5QwAGpqwFo8aN0qsF6q9UBqzYAK8XCOqobTcvnjm/Ti3u8tmyN/vaZYQkIY+3U69Qt1TEyM/QsIQ0NDJScnRzZu3Ngrqai3ua9opssTPVuevrStTFrPsmbAadQ+AtbUgFosqK4EKOqltahQ/fmF9iGAf1qbX6aDwNyMUZI80u6zgSunCdRl/1/96lfyzDPPSEFBgdx///3S3NyspwtgnumxXZIUHSb1zW3ypz19u3wF/xEVFSUJCQndUwPWLQH10poyUH+uPg7O0Ha2U9bme9bw3J3LFR1T+XzNwO23367vLT766KN6cdGsWbNk/fr1n1tUCDMEBYjcMS9NfryxUG9/unw2I2hOoi45qu9ftY/AZ8cH1a2BDz74QAeBvl6ahP3e3lctx5paJS4yTK6bmijvclHHSMOyA+EDDzwgJSUlemxw69atehdCmOv2uSkSEhQgO0tPyt4KdqpzGvWD/kL7CKj3EwSc5bktnk6Cu3LTJDSYHepNxSOPYad+A7l++lj9utVeCGD4HahulPyiegkKDJA789LtPh3YiDAAW1g7EP5hd4U0tLTbfTqAkawwvljvQDjC7tOBjQgDsMXcjNGSnRQlZ9o75eXtvQtvAPhe45l2WbfTs7HQvWwPbjzCAGwREBAg9y4Yp19/fkuJdKrKNADDZt2OCmlp69CthQsmsI+L6QgDsM2y2ckSFRYsxXUt8ufC43afDmCMrq6u7oWDqrFQhXOYjTAA20SEBsutOZ5V6c9tLrb7dABjbD5SJ4W1pyQiNEiWz2HbYRAG4CcLCTceqJWy+ha7TwcwgnVVYPnsFIkOZ9thEAZgswnxkXJ5Vpx0dYm84N0FDYBvewje2V/TK4wDhAHYbuX8jO6+gjPt9BUAvrR2a6nuIcgdFyvZSdF2nw78BGEAtls0JUGSY8LpKwCGoYfghXzPKC9XBdATYQC2Cw4KlLu8u5+pvgIAvushOH6qVeKjwmTJtM/XyMNchAH4hdvnpeu+gl1lJ2VPOX0FgC93HLwzN50eAvTCVwP8gvpNpbuvYAtjhoBPegiKPT0Ed+XSQ4DeCAPwG9aWqH/YVSknW9rsPh3AlVcFVE1xUky43acDP0MYgN/IyRgtU8ZGS+vZTnllO6XqgC96CFg4iPMhDMDP+goyujdFoa8AGBqvbi8/10OQSQ8BPo8wAL9y86xkiQoPlpK6Fvnw8DG7TwdwPHoI0BeEAfhdX8Ft3X0FjBkCQ9FDcORYs4wMDZJb6CHABRAG4HfUby/KewfpKwAGy9q7QxUSRdFDgAsgDMDvZMZHyhUTPX0Fa7bSVwAMpodgQ4G3h2D+OLtPB36MMAA/7ysopa8AGKAXrB6C8bEyOSnK7tOBHyMMwC9dm+3pKzjR0i5vfkpfATCQHoK13h4Ca0oHuBDCAPy2r+Bu79UBayU0gL5bTw8B+oEwAL/1lblp9BUAA/Tc5uLuHoKQIJ7qcXF8hcBvqd9ovjTD01fwrPeJDcAXK6hqlG3FJ+ghQJ8RBuDXrHudf9xdKSea6SsA+sK6tbZkGj0E6BvCAPzanPTRMpW+AqBfPQSvWT0EjBOijwgD8Gtq61SrWOX5rfQVAF/k994egokJkTI/M9bu04FDEAbgqL6CD+grAPrWQ7CAHgL0HWEAjugrWJGTpl9/nr4C4IL+cqROjnp7CJbPpocAfUcYgCOsnO9ZEU1fAXBh1tTNLXNS6SFAvxAG4Li+ArV2AMB5egj2e3sI2HEQ/UQYgOPaDH+3rYy+AuA8PQRqfW3e+FiZlEgPAfqHMADHuHZKoqSMGkFfAXDRHgLGCdF/hAE4ht5NLc+zduBZ+gqAbm/trdI9BAlRYXLdtES7TwcORBiAo9w+L01CgwJld9lJ+bT8pN2nA/iF573hmB4CDBRfNXCUuEjVV+BpYHuWMUOgu4cguMeVM6C/CANwnHu890Rfp68A6A7FqqY4MZoeAgwMYQCOMyd9VHdfwcvbPYumANN7CFZ6p22AgSAMwHHUFqtWm+HzW0rpK4DRPQSn2ztkUiI9BBgcwgAc6eZZKRIdHiyl9fQVwEy9egjm00OAwSEMwJFGhAbJirmevoLnWEgIA31c2KOHYE6q3acDhyMMwLGse6Sb6CuAgZ7bcq6HIDIs2O7TgcMRBuBY4+NGnusrYBMiGKTyJD0EGFqEATiatfXqS5/QVwDzegjUokF6CDAUCANwtGuyE3RfwcmWdnmDvgIY0kPw4rZS/To9BBgqhAG4pq/gOW+XO+D+HoI2SYwOk8VT6SHA0CAMwPHusPoKyht0ZwHgZtb0DD0EGEp8JcHxxkSGyQ2XjNWvW3PXgBvtr2yUT0o8PQQqDABDhTAAV40Z0lcAN7PCLj0EGGqEAbimr2Basqev4Hef0FcA92k4fa6HgHFCDDXCANzXV7C1RDroK4CLewjyxtNDgKFFGIBrfHmmp6+grP60fHiIvgK4q4fA2lhLVXjTQ4ChRhiAK/sKnmXMEG7rITjerLcdXj47xe7TgQsRBuDKhYTvHzompXX0FcAdrHB7y5wUegjgE4QBuK6v4MpJ8bqvYM1WxgzhfBUnT8u7Bd4eAm/YBYYaYQCuc6/3CZO+ArjBWm8PwYLMMTKRHgL4CGEArnN1j74Cte8A4FStZzu6ewgYJ4QvEQbgyr6Cu+d7+wrYkRAOtn5vNT0EGBaEAbjS7XM9fQWf0lcAB3vW20NwV24GPQTwKb664Pq+AusJFXCSfZUNsr27h8AzMgv4CmEArmXdY33900qpp68ADmNtMrRkepIk0EMAHyMMwLVmp42S6SnR0kZfARzZQ1DZazoG8CXCANzdVzB/nH5d7TlAXwGc1kMwOTFKcukhwDAgDMDVbpqZLDEjQnRfwQeHau0+HeALdXae6yFYuSCDHgIMC8IA3N9XkJOqX2chIZzg4yPH6SHAsCMMwJi+gg8OHZOSuma7Twe4KCu03koPAYYRYQCuNy5upFzV3Vfg2c0N8Ncego1WDwE7DmIYEQZgBKvgRU0V0FcAf/XC1pLuHoKsBHoIMHwIAzCur+CP9BXAX3sI8j0jsPdyVQDDjDAAY/oKrLUD1kptwN96COqa6SGAPQgDMMZX5qZ29xXsoq8AftxDEEwPAYYZX3Ewqq/gxu6+gmK7TwfoRg8B7EYYgFGsFdpq3QB9BfAXv/moSL9cSg8BbEIYgFFmpY2SsTHhcrajS2588s/y6o5ypgtgm/2VjfIPL++W3++o0G+vzGPhIOzBjhYwitraNTspSqoazkjlyTPy0O92y7+9sV9WzE2Tu/PSJWPMSLtPES6nwudbe6vkuc0lsqP03NoVtZ4lfcwIW88N5iIMwDg/W5kjR46dkvcPHpMXtpbqjV5++eFRfVw5KV5W5qXLNdkJLOLCkCqta5E1+SXyu21lcqKlXb9PrRFQFcV35aZLeuwISR4VYfdpwlCEARgnPCRIpiXH6ONvr5ogmw7UynNbSuTDw8fkw0OeIzkmXO7MTZfbc9MkIYp7uBgY1ZTZ8+tL7YKpqK+vu/LS5Svz+PqCfyAMQEzff2DR1ER99PzNrbLhjPzXhkPy3xsP69/c1L3c+ZmxNMihT441tcpL20plbX6ZvvJkUdtiq/0urp4cz5Un+BXCAOCVPiZCvnP9FPn7RZP0Pd3nt5Tqca83P63SR1ZCpL6FcEtOqkSHh9h9uvAzXV1dsrWoXm9q9fa+amnv8FwGGB0RIl+Zm6avBLAmBf6KMACc5zbC8tmp+lCrvZ/fWiKv7ayQwtpT8q+v75fH1x+UZbOT5e68DJmeEmP36cJmjWfaZd2OCh0CDtee6n7/nPRR+irAl2aM1V9TgD8jDAAXMTU5Wv5j+Qz5zvXZsm6n5wn/UM0pfflXHWpUUZUg3XAJT/gmbhSkrh79YVeFtLR5xlMjQoPk5lkpsnJ+ul6TAjgFYQDog6jwELl3wTj9gz9fXQreWirr91bpbY3V8W9v7pcVOan6aoGqTIZ7xwL/tEfdQuo9FjhR3UKanyHL56RwCwmORBgA+kEtIMzLHKOPY01TdSWyNZ74qz8X6eOKiXE6NDCe6B4ldc36cVaPtzUWGBIUIEumJenHOnc8i0vhbIQBYIDio8Lkf1+dpccT3z/oGR/74NAx+fPh4/oY6x1PvEONj7HFrOOc7eiU9w7U6qtAatzUoqqw9Vjg3DT9NQC4AWEAGILxxGunJOqjrL5F1nh/g1S7HP5wwyH5iRpPnJYkd89PlwWZY/gN0s/VNp2Rl/SakFI9Yqqoh+zKifH6KsDV2Qn6MQfchDAADKG02Ah55Pps+fvFE+WtPdX63vInajxxT5U+JsSP1PeWb5mTKjEjuLfsT2OBW46qtSAl8vbeajnb2WMscF6a3J2boUdPAbciDAA+EBYcJMtmp+ijoKpRhwI1nnjkWLOsen2//Of6g/Llmcm6RZHxRHvHAl/dXq5vBajRUUtOxmg9EXD9dKZEYAbCAOBjU8ZGy2PLZ+grBioQqHG0gzVN8tInZfqY6R1PvJHxxGGzt6JB1uj9IyrldPu5sUAV3tRuk2qkFDAJYQAYxvHEexaM07cJ1K0D1VqndjrcXXZSH7o9UY0nzs+Q8Ywn+mQsUO0kqRZ6qnFQy6RE71jg7BT9GAEmIgwAw0wtIJw3LlYfx095xhPXbPGMJ/7/j4r0ocYT1Z4Fi6YwnjhYxceb9VWAl7eXy8keY4FLp4/V20szFggQBgBbxUWGyf9amCXfvHKCfHCoVl8teL/HeGJStHc8MTdNEhlP7PdYoLoKoP4fLYwFAudHGAD8gBpVuyY7UR9qPPGF/FJ5aVuZVDeekR+9e0iefO+wXDctUd/PXjCB8cQLqW08Iy9u84wFqtFORf1XLfS2BS6czFggcD6EAcAPxxP/aWm2PLhooqzf6xlP3FZ8Qv60p1ofajxR3UK4NYfxRGsscPPROn2rRbUFWmOBsSND9RWAu/PS9f8pgAsjDAB+PJ6oSm/UcaDaM56o2vHUeOL/fWO//OfbB+TmmaoUJ0NmpJo3nthwul1e3VGuN3nqORY4V48FZsj1M5L0/yGAL0YYABwgOyla/n2ZGk+cotsT12wpkQPVPcYTU2P0D8CbZia7fjxRjQWqYPSHXefGAkdaY4HzM/QoJ4D+IQwADhIZFqz3JFCr4Ler8cQtJXqnw93lDbL7lU/l398skNt0e2K6ZMZHipvGAt/41NMW2HMscHJilN4cSAUBxgKBgSMMAA6kFhDOHRerj3+5sVVe/kRdLi+R8hOn5dcfFenj8qw4/YNy0ZREx44nFqmxwC0l8sqO3mOBamdAtXujuiXAYkpg8AgDgAvGE+9fOEH+5spM3a6nfnt+72CtfFR4XB+J0WF6PFEdThhPVGOB7xbU6nDz2bFAVfakFgWqfzOAoUMYAFxCjcypRj11qPHEtd7xxJrGVvnxu4flyfcK5bqpifq++qV+OJ5Yo8YCvW2BaqSy51igugpw1STGAgFfIQwALqRG6b69NFv+zjueqMbu8ovr5a291frIjBuptz2+TbUnRoTYOxZ4pE63Bb6zr6bXWODt89LkrlzGAoHhQBgADBlPPFjd5BlP3FkhR4836y6EJ94+IDdd4mlPvCR11LCOBf5+u2edgxqVtMwb5xkLXDqdsUBgOBEGAENMToqSf1s2Xf6puz3RM56o9uxXxyVqPDHPM544ItQ3P4j3lHvHAndXyJn2zu6xwOVzPGOBaoQSwPAjDAAGjieqH7xq/HBHqac9Ue1s+Gl5g3y7XI0n7pfbctL0Yr0JQzCeqMYCX99dqUOAGoG0ZCdF6VsVqi1QnRMA+/AdCBhKLSDMyYjVhx5P9F62L6s/Lb/5uEgfl2WN0VcLFk1NlJB+jicePXZK7w74yvZyfVtACQ0K1DsDqr0SchgLBNwfBh577DF58803ZdeuXRIaGionT57bKASAfxkTGSZ/e9UE+ZsrMuWDw8f0bP/GA7XycWGdPtR44h3zPOOJSTHhXzgWqK4CqLFGS+roc22BjAUCBoWBtrY2WbFihSxYsEB+/etf++rTABhCgWo8cXKCPspP9B5P/O+Nh+Wnmwpl8ZRz44ndRsTIj989pEcDe44Fqr9HXQW4clI8Y4GAiWFg1apV+uXTTz/tq08BwIdSR0fIPy7Jlr+7dpKs3+dpT8wvqtevq2PcmAgJmHenxOeFS9CEeXovA2WMdyxQXUVgLBBwBr9aM9Da2qoPS2Njo37Z3t6uDzib9RjyWDqL+n3++qnx+jhU0yRrt5XLul2VUlzXIkGTF4r1435uxii5KzdNb2wUFuxZX8Bj7Sx8j7pLfx5HvwoDq1ev7r6i0NOmTZskIoLfMNxiw4YNdp8CBmFeoMglM0U+qAqQN0oCpP1YsZz96Ndyzw9WiZQfl43ldp8hBovvUXdoaWnp88cGdKktwProkUcekccff/yiH1NQUCDZ2dndb6vbBA8++GCfFhCe78pAWlqaVFVVyZgxPe5PwrEpVT3JLF68WEJCaJhzg3GZWVJZVSnJiQlSXFxs9+lgkPgedRf1MzQuLk4aGhokOjp66K4MPPzww/K1r33toh+TmZkpAxUWFqaPz1JflHxhugePp3sEdHWIdJzVI4I8pu7B96g79Ocx7FcYiI+P1wcAAHAPn60ZKC0tlfr6ev2yo6ND7zegZGVlSWTk4Hc1AwAAfh4GHn30UXnmmWe63549e3b3YsCFCxf66tMCAIB+6t/+ov2gFg6qtYmfPQgCAAAYEgYAAIAzEAYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMMRBgAAMBxhAAAAwxEGAAAwHGEAAADDEQYAADAcYQAAAMP5LAwUFxfLN77xDRk/fryMGDFCJkyYIN///velra3NV58SAAAMQLD4yIEDB6Szs1N+8YtfSFZWluzdu1fuu+8+aW5ulh/84Ae++rQAAMBfwsDSpUv1YcnMzJSDBw/Kz372swuGgdbWVn1YGhoa9Mv6+npfnSaGUXt7u7S0tEhdXZ2EhITYfToYAh0dHd0v1eMKZ+N71F2ampr0y66uLvvCwPmoH+6xsbEX/PPVq1fLqlWrPvf+SZMm+fjMAAxGdXW1xMXF2X0aAC4QCmJiYuRiArr6EhmGQGFhoeTk5OirAup2QV+uDJw8eVIyMjKktLT0C/8h8H+NjY2SlpYmZWVlEh0dbffpYAjwmLoLj6e7qB/vKggkJydLYGDg0F4ZeOSRR+Txxx+/6McUFBRIdnZ299sVFRX6lsGKFSsuGASUsLAwfXyWCgJ8YbqHeix5PN2Fx9RdeDzdo6+/SPc7DDz88MPyta997aIfo9YHWCorK+Xqq6+WSy+9VH75y1/299MBAAAf63cYiI+P10dfqCsCKgio2wO//e1vv/AyBQAAGH4+W0CogsDChQv1PX+1TuDYsWPdf5aUlNSnv0PdMlB7E5zv1gGch8fTfXhM3YXH01w+W0D49NNPy9e//vXz/tkwrVkEAAB9MGzTBAAAwD9xEx8AAMMRBgAAMBxhAAAAwxEGAAAwnGPCAJXI7vPYY4/pzagiIiJk1KhRdp8O+umpp56ScePGSXh4uOTl5Ul+fr7dp4QB+vDDD+Wmm27S29YGBATIa6+9ZvcpYZg5Jgz0rETet2+f/OhHP5Kf//zn8t3vftfuU8MAqSCntqi+//777T4V9NNLL70kDz30kA7kO3bskJkzZ8qSJUuktrbW7lPDAKhqefUYqoAHMzl6tPCJJ57QlchHjx61+1QwyD0pHnzwQV1MBWdQVwLmzZsnP/3pT/XbKqirgptvfetbur8EzqWuDKxbt06WLVtm96lgGDnmysBAKpEB+OaKzvbt22XRokXd71Nbjau3N2/ebOu5ATAsDKhK5CeffFK++c1v2n0qgFGOHz8uHR0dkpiY2Ov96u3q6mrbzguAg8OAuqSoLktd7FDrBXrqayUynPF4AgBcWlTUV1Qiu0t/H084T1xcnAQFBUlNTU2v96u3+1pCBsC/2B4GqER2l/48nnCm0NBQ/T24cePG7kVmagGhevuBBx6w+/QAODEMDGclMvxLaWmp1NfX65fqHvSuXbv0+7OysiQyMtLu08NFqLHCr371qzJ37lzJzc2VH//4x3o87UJNpfBvp06d0uuwLEVFRfr7US3QTk9Pt/XcMDwcM1pIJbL7qNsJzzzzzOfev2nTJh384N/UWKEa71WLBmfNmiU/+clP9MghnOf999/XV10/SwU+9dwL93NMGAAAAL7BTXcAAAxHGAAAwHCEAQAADEcYAADAcIQBAAAMRxgAAMBwhAEAAAxHGAAAwHCEAQAADEcYAADAcIQBAADEbP8D1/pqldY8cd4AAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 88
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-07-20T15:54:14.142588Z",
     "start_time": "2025-07-20T15:54:14.103892Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# 验证坐标系中角度是从 0,1开始逆时针旋转\n",
    "\n",
    "c45 = to_cartesian((3, 190 * pi / 180))\n",
    "draw(Polygon(*[(0, 0), c45]))"
   ],
   "id": "c9c8c6aa574f6247",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 600x360 with 1 Axes>"
      ],
      "image/png": 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hAL4bcqV7DeHLpXtdOt3er/a+wQlK96T87HQtKMrWZ90Qf3WxNiwLKTeTSXoA4NMiDCCh3LD+6yda9W5Dp056pXsDikTjz86Xm5Gm8oJMr3Tv9qoibaotVWVhtm9tBgBrCAOYEu19A9pX16YDZ8L6oKVHzV0X1TMQ02icIf5MNztfboYWl+ZoxYICbVwa0ufm51O6BwA+Iwzghkv33j4d1lun2vXP5i6vdC/cH9XQBKV7ha50rzjbO9jfWVOiOxcXKzOdjx8ATAfsjRHX/x5o1KsfnFd9a59aewc1EK90T27VvUuz832mPE9r3Kp7S0Mqzcv0tc0AgBtDGEBcz75Rr7MdkWu2ZwXdqnsZWlKaq5ULC73z+ksp3QOAGYkwgLjccL5buGdRyRwtryjQnTXFumNRMaV7ADCLEAYQ13//++eT3QQAQILx9Q4AAOMIAwAAGEcYAADAOMIAAADGEQYAADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxhAEAAIwjDAAAYBxhAAAA4wgDAAAYRxgAAMA4wgAAAMYRBgAAMI4wAACAcYQBAACMIwwAAGAcYQAAAOMIAwAAGEcYAADAOMIAAADGEQYAADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxCQsDTz75pNatW6fs7GwVFBQk6m0AAMB0DQPRaFQPPPCAHn300US9BQAAmAJpSpAdO3Z4988//3yi3gIAAEznMHAzBgcHvduYnp4e7z4Wi3k3JN5YP9Pf/qHP/Uef+290dHT8nn73x43087QKAzt37hwfUfi4vXv3etcewD+vvvpqsptgDn3uP/rcP2Nf9Nz9rl27kt0cEyKRSGLCwNatW/XUU0/Ffc3x48dVW1urm7Ft2zZt2bLlipGByspKbdq0ScXFxTf1b+LGk6TbQX7xi19UMBhMdnNMoM/9R5/7LyMjY/x+8+bNyW6OCT2XR9enPAw8/vjjevjhh+O+prq6WjfLfUjGPjAf535Z+YX1F33uP/rcf/S5fwKBwPg9fe6PG+nnGwoDoVDIuwEAgNkjYdcMNDY2KhwOe/fDw8N67733vO01NTXKyclJ1NsCAIDpEga2b9+uF154YfzxihUrxi8G3LhxY6LeFgAATJdJh9z8Aq6E5OobQQAAgOmFtQkAADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxhAEAAIwjDAAAYBxhAAAA4wgDAAAYRxgAAMA4wgAAAMYRBgAAMI4wAACAcYQBAACMIwwAAGAcYQAAAOMIAwAAGEcYAADAOMIAAADGEQYAADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxhAEAAIwjDAAAYBxhAAAA4wgDAAAYRxgAAMA4wgAAAMYRBgAAMI4wAACAcYQBAACMIwwAAGAcYQAAAOMIAwAAGEcYAADAOMIAAADGEQYAADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxhAEAAIwjDAAAYBxhAAAA4wgDAAAYRxgAAMA4wgAAAMYRBgAAMI4wAACAcYQBAACMIwwAAGAcYQAAAOMIAwAAGEcYAADAOMIAAADGEQYAADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxCQsDDQ0N+uY3v6lFixYpKytLixcv1hNPPKFoNJqotwQAADchTQlSV1enkZERPfvss6qpqdHRo0f1rW99S/39/frFL36RqLcFAADTJQzcd9993m1MdXW1Tpw4od/+9rfXDQODg4PebUx3d7d3Hw6HE9VMXCUWiykSiaijo0PBYDDZzTGBPvcffe6/4eHh8XvX70i83t5e7350dDR5YeCTuIN7UVHRdZ/fuXOnduzYcc32pUuXJrhlAAA/nD9/XiUlJcluhrlQkJ+fH/c1gdHJRIYpcOrUKa1cudIbFXCnCyYzMtDV1aWFCxeqsbFxwh8EU6Onp0eVlZVqampSXl5esptjAn3uP/rcf/S5/9zh3QWBefPmKSUlZWpHBrZu3aqnnnoq7muOHz+u2tra8ccffvihd8rggQceuG4QcDIyMrzb1VwQ4MPjL9ff9Lm/6HP/0ef+o8/9Ndkv0jccBh5//HE9/PDDcV/jrg8Y09LSok2bNmndunX6/e9/f6NvBwAAEuyGw0AoFPJuk+FGBFwQcKcHnnvuuQmHKQAAgP8SdgGhCwIbN270zvm76wTa2trGn5s7d+6k/g13ysDNTfBJpw6QGPS5/+hz/9Hn/qPPp7eEXUD4/PPP65FHHvnE53y6ZhEAAEyCb9UEAABgeuIkPgAAxhEGAAAwjjAAAIBxhAEAAIybkWHATVl82223KRAI6L333kt2c2a1L3/5y1qwYIEyMzNVXl6ur3/9695EUkgMlv7235NPPulNipadna2CgoJkN2fWeuaZZ1RVVeXtS9asWaODBw8mu0mY6WHghz/8oTfXMhLPTRr1pz/9yVtx8qWXXlJ9fb2+8pWvJLtZs9bHl/4+duyYfvnLX+p3v/udfvzjHye7abOWC1puqvRHH3002U2ZtV588UVt2bLFC7aHDx/W8uXLde+996q1tTXZTcOY0Rlm165do7W1taPHjh1zJZGjR44cSXaTTHn55ZdHA4HAaDQaTXZTzPj5z38+umjRomQ3Y9Z77rnnRvPz85PdjFlp9erVo9/97nfHHw8PD4/OmzdvdOfOnUltFz4yo0YGLly44C109Ic//MEb0oO/wuGw/vjHP3pDqqwBP32W/gam+8jLoUOHdM8994xvc1PTu8f79+9PatvwkRkTBtzcSG6BpO985ztatWpVsptjyo9+9CPNmTNHxcXF3nLSL7/8crKbZIZb+vvXv/61vv3tbye7KcBNaW9v1/DwsMrKyq7Y7h6fP38+ae3CNAsDbklkdyFgvJs7j+p2iG5d5m3btiW7yTPeZPt8zA9+8AMdOXJEu3fvVmpqqr7xjW8wpXSC+/xGlv7G1PQ3YFnSpyN2Cxh1dHRMuCTyV7/6Vf31r3/1fonHuLTpDk5f+9rX9MILL/jQ2tlhsn2enp5+zfbm5mZVVlbq7bff1tq1axPYStt97io23EJfd9xxh7fOByt+Jv4z7vr5+9//vrq6unxooa3TBO607p///Gfdf//949sfeughr68ZaZzlqxZO9ZLIv/rVr/Szn/1s/LHbWbqrUd1Vqq5MBYlZhvpq7kr3sfJOTB5Lf8+czzimlgtc7rO8Z8+e8TDg9iPu8WOPPZbs5mG6hIHJcrXuH5eTk+PduzrsioqKJLVqdjtw4IDeeecdrV+/XoWFhV5Z4U9/+lOvzxkVmL5Lf+PGuOtg3MWx7t6NNo7NXVJTUzO+n8Gn48oK3UiAu95r9erVevrpp9Xf33/dlW3hvxkTBuA/N7T3l7/8xasNdr+4btIhdw77Jz/5CWuSJ8irr77qXTTobleHXK7TSIzt27dfcZpxxYoV3v3evXu9YIZP78EHH/SCretrd9GgmzTulVdeueaiQhi+ZgAAACQXJyMBADCOMAAAgHGEAQAAjCMMAABgHGEAAADjCAMAABhHGAAAwDjCAAAAxhEGAAAwjjAAAIBxhAEAAGTb/wNM3+BWVfKpDAAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 100
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### 2.5 使用Matplotlib绘图"
   ],
   "id": "1d0531c861821770"
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": [
    "import matplotlib\n",
    "from matplotlib.patches import Polygon\n",
    "from matplotlib.collections import PatchCollection\n",
    "\n"
   ],
   "id": "b32e42d3d53d6943"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
